國立虎尾科技大學 |

Approximation and Computation in Science and Engineering

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Approximation and Computation in Science and Engineering/ edited by Nicholas J. Daras, Themistocles M. Rassias.
其他作者:	Rassias, Themistocles M.
面頁冊數:	X, 944 p. 42 illus., 25 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Applications of Mathematics. -
電子資源:	https://doi.org/10.1007/978-3-030-84122-5
ISBN:	9783030841225

Approximation and Computation in Science and Engineering
Approximation and Computation in Science and Engineering[electronic resource] /edited by Nicholas J. Daras, Themistocles M. Rassias. - 1st ed. 2022. - X, 944 p. 42 illus., 25 illus. in color.online resource. - Springer Optimization and Its Applications,1801931-6836 ;. - Springer Optimization and Its Applications,104.

Rearrangements, L-superadditivity and Jensen type inequalities (Abramovich) -- Approximate generalized Jensen mappings in 2-Banach spaces (Almahalebi) -- The asymptotic expansion for a class of convergent sequences defined by integrals (Andrica) -- Weak Pseudoprimality Associated with the Generalized Lucas Sequences (Rassias) -- Shift Invariant Spaces of Periodic Functions: Characterization, Approximation and Applications (Atreas). -- Generalized intensity dependent multiphoton Jaynes-Cummings model (N. Merlemis) -- Functional inequalities for multi-additive-quadratic-cubic mappings (Bodaghi) -- Generalizations of Truncated M-Fractional Derivative Associated with (p, k)-Mittag-Leffler function With Classical Properties (Agarwal) -- On Hyers-Ulam-Rassias stability of a Volterra-Hammerstein functional integral equation (Marian) -- Analysis of Electroencephalography (EEG) signals based on the HaarWavelet transformation (P. Papadopoulos) -- Perov type contractions (Karapinar) -- On a logarithmic equation by primes (S. I. Dimitrov) -- Hermite-Hadamard trapezoid and mid-point divergences (Dragomir) -- Hermite-Hadamard type integral inequalities for perspective function (Dragomir) -- On the maximum value of a multi-variable function (Hassani) -- Image reconstruction for positron emission tomography based on Chebyshev polynomials (Kalantonis) -- Approximation by Mixed Operators of Max-Product-Choquet Type (G. Gal) -- On the Approximation of Extinction Time for the Discrete-Time Birth-Death Circuit Chains in Random Environments (Ganatsiou) -- Some hyperstability results in Non Archimedean 2-Banach space for a $\sigma$-Jensen functional equation (Ghali) -- A characterization for the validity of the Hermite-Hadamard inequality on a simplex (Guessab) -- "On the stability of the triangular equilibrium points in the photogravitational R3BP with an oblate infinitesimal and triaxial primaries for the binary Lalande 21258 system" (E. Perdiou) -- Normalized Symmetric Differential Operators in the Open Unit Disk (W. Ibrahim) -- New Hermite-Hadamard inequalities concerning twice differentiable generalized $\psi$--convex mappings via conformable fractional integrals (Kashuri) -- Some new fractional inequalities using n-polynomials s-type convexity (Kashuri) -- Hyperstability of orthogonally 3-Lie homomorphism: an orthogonally fixed point approach (Keshavarz) -- Some New Inequalities for Fractional Integral Operators (J. Kuang) -- New Generalized Convexity and Their Applications (J. Kuang) -- Ternary biderivations and ternary bihomorphisms in $C^*$-ternary algebras (Park) -- Hyers-Ulam stability of an additive-quadratic functional equation (Park) -- Orthogonal Dirichlet Polynomials (S. Lubinsky) -- Generalizations and improvements of approximations of some analytic functions: a survey (Malešević) -- Some classes of Meir-Keeler contractions (Gavruta) -- Interpolation of the Zech’s Logarithm – Explicit Forms (Rassias) -- Numerical calculations on multi-photon processes in alkali metal vapors (Merlemis) -- General preinvex functions and variational-like inequalities (A. Noor) -- A variational formulation of network games with random utility functions (Raciti) -- Fixed point theory in graph metric spaces (Petrusel) -- Approximate Solution of Fredholm Integral and Integro-Differential Equations with Non-Separable Kernels (E. Providas) -- Ordinary, Super and Hyper Relators Can Be Used To Treat the Various Generalized Open Sets in a Unified Way (Szaz) -- Applications of Apostol-type numbers and polynomials: Approach to techniques of computation algorithms in approximation and interpolation functions (Simsek) -- Spectra of signed graphs (Triantafillou) -- Perturbed Geometric Contractions in Ordered Metric Spaces (Turinici) -- On ${\mathrm{G}}^{(\sigma,{\textit{h}})}$-convexity of the functions and applications to Hermite-Hadamard's inequality (U. Awan).

In recent years, extensive research has been conducted by eminent mathematicians and engineers whose results and proposed problems are presented in this new volume. It is addressed to graduate students, research mathematicians, physicists, and engineers. Individual contributions are devoted to topics of approximation theory, functional equations and inequalities, fixed point theory, numerical analysis, theory of wavelets, convex analysis, topology, operator theory, differential operators, fractional integral operators, integro-differential equations, ternary algebras, super and hyper relators, variational analysis, discrete mathematics, cryptography, and a variety of applications in interdisciplinary topics. Several of these domains have a strong connection with both theories and problems of linear and nonlinear optimization. The combination of results from various domains provides the reader with a solid, state-of-the-art interdisciplinary reference to theory and problems. Some of the works provide guidelines for further research and proposals for new directions and open problems with relevant discussions.

ISBN: 9783030841225

Standard No.: 10.1007/978-3-030-84122-5doiSubjects--Topical Terms:

669175
Applications of Mathematics.

LC Class. No.: QA402.5-402.6

Dewey Class. No.: 519.6

Approximation and Computation in Science and Engineering
LDR:06557nam a22004335i 4500 001 1094596
003 DE-He213
005 20220505012614.0
007 cr nn 008mamaa
008 221228s2022 sz | s |||| 0|eng d
020 $a 9783030841225 $9 978-3-030-84122-5
024 7 $a 10.1007/978-3-030-84122-5 $2 doi
035 $a 978-3-030-84122-5
050 4 $a QA402.5-402.6
050 4 $a QA315-316
072 7 $a PBU $2 bicssc
072 7 $a MAT005000 $2 bisacsh
072 7 $a PBU $2 thema
082 0 4 $a 519.6 $2 23
082 0 4 $a 515.64 $2 23
245 1 0 $a Approximation and Computation in Science and Engineering $h [electronic resource] / $c edited by Nicholas J. Daras, Themistocles M. Rassias.
250 $a 1st ed. 2022.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a X, 944 p. 42 illus., 25 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Springer Optimization and Its Applications, $x 1931-6836 ; $v 180
505 0 $a Rearrangements, L-superadditivity and Jensen type inequalities (Abramovich) -- Approximate generalized Jensen mappings in 2-Banach spaces (Almahalebi) -- The asymptotic expansion for a class of convergent sequences defined by integrals (Andrica) -- Weak Pseudoprimality Associated with the Generalized Lucas Sequences (Rassias) -- Shift Invariant Spaces of Periodic Functions: Characterization, Approximation and Applications (Atreas). -- Generalized intensity dependent multiphoton Jaynes-Cummings model (N. Merlemis) -- Functional inequalities for multi-additive-quadratic-cubic mappings (Bodaghi) -- Generalizations of Truncated M-Fractional Derivative Associated with (p, k)-Mittag-Leffler function With Classical Properties (Agarwal) -- On Hyers-Ulam-Rassias stability of a Volterra-Hammerstein functional integral equation (Marian) -- Analysis of Electroencephalography (EEG) signals based on the HaarWavelet transformation (P. Papadopoulos) -- Perov type contractions (Karapinar) -- On a logarithmic equation by primes (S. I. Dimitrov) -- Hermite-Hadamard trapezoid and mid-point divergences (Dragomir) -- Hermite-Hadamard type integral inequalities for perspective function (Dragomir) -- On the maximum value of a multi-variable function (Hassani) -- Image reconstruction for positron emission tomography based on Chebyshev polynomials (Kalantonis) -- Approximation by Mixed Operators of Max-Product-Choquet Type (G. Gal) -- On the Approximation of Extinction Time for the Discrete-Time Birth-Death Circuit Chains in Random Environments (Ganatsiou) -- Some hyperstability results in Non Archimedean 2-Banach space for a $\sigma$-Jensen functional equation (Ghali) -- A characterization for the validity of the Hermite-Hadamard inequality on a simplex (Guessab) -- "On the stability of the triangular equilibrium points in the photogravitational R3BP with an oblate infinitesimal and triaxial primaries for the binary Lalande 21258 system" (E. Perdiou) -- Normalized Symmetric Differential Operators in the Open Unit Disk (W. Ibrahim) -- New Hermite-Hadamard inequalities concerning twice differentiable generalized $\psi$--convex mappings via conformable fractional integrals (Kashuri) -- Some new fractional inequalities using n-polynomials s-type convexity (Kashuri) -- Hyperstability of orthogonally 3-Lie homomorphism: an orthogonally fixed point approach (Keshavarz) -- Some New Inequalities for Fractional Integral Operators (J. Kuang) -- New Generalized Convexity and Their Applications (J. Kuang) -- Ternary biderivations and ternary bihomorphisms in $C^*$-ternary algebras (Park) -- Hyers-Ulam stability of an additive-quadratic functional equation (Park) -- Orthogonal Dirichlet Polynomials (S. Lubinsky) -- Generalizations and improvements of approximations of some analytic functions: a survey (Malešević) -- Some classes of Meir-Keeler contractions (Gavruta) -- Interpolation of the Zech’s Logarithm – Explicit Forms (Rassias) -- Numerical calculations on multi-photon processes in alkali metal vapors (Merlemis) -- General preinvex functions and variational-like inequalities (A. Noor) -- A variational formulation of network games with random utility functions (Raciti) -- Fixed point theory in graph metric spaces (Petrusel) -- Approximate Solution of Fredholm Integral and Integro-Differential Equations with Non-Separable Kernels (E. Providas) -- Ordinary, Super and Hyper Relators Can Be Used To Treat the Various Generalized Open Sets in a Unified Way (Szaz) -- Applications of Apostol-type numbers and polynomials: Approach to techniques of computation algorithms in approximation and interpolation functions (Simsek) -- Spectra of signed graphs (Triantafillou) -- Perturbed Geometric Contractions in Ordered Metric Spaces (Turinici) -- On ${\mathrm{G}}^{(\sigma,{\textit{h}})}$-convexity of the functions and applications to Hermite-Hadamard's inequality (U. Awan).
520 $a In recent years, extensive research has been conducted by eminent mathematicians and engineers whose results and proposed problems are presented in this new volume. It is addressed to graduate students, research mathematicians, physicists, and engineers. Individual contributions are devoted to topics of approximation theory, functional equations and inequalities, fixed point theory, numerical analysis, theory of wavelets, convex analysis, topology, operator theory, differential operators, fractional integral operators, integro-differential equations, ternary algebras, super and hyper relators, variational analysis, discrete mathematics, cryptography, and a variety of applications in interdisciplinary topics. Several of these domains have a strong connection with both theories and problems of linear and nonlinear optimization. The combination of results from various domains provides the reader with a solid, state-of-the-art interdisciplinary reference to theory and problems. Some of the works provide guidelines for further research and proposals for new directions and open problems with relevant discussions.
650 2 4 $a Applications of Mathematics. $3 669175
650 2 4 $a Algebraic Geometry. $3 670184
650 2 4 $a Numerical Analysis. $3 671433
650 2 4 $a Number Theory. $3 672023
650 2 4 $a Data Mining and Knowledge Discovery. $3 677765
650 1 4 $a Calculus of Variations and Optimization. $3 1366302
650 0 $a Mathematics. $3 527692
650 0 $a Algebraic geometry. $3 1255324
650 0 $a Numerical analysis. $3 527939
650 0 $a Number theory. $3 527883
650 0 $a Data mining. $3 528622
650 0 $a Calculus of variations. $3 527927
650 0 $a Mathematical optimization. $3 527675
700 1 $a Rassias, Themistocles M. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 782445
700 1 $a Daras, Nicholas J. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 883697
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030841218
776 0 8 $i Printed edition: $z 9783030841232
776 0 8 $i Printed edition: $z 9783030841249
830 0 $a Springer Optimization and Its Applications, $x 1931-6828 ; $v 104 $3 1255232
856 4 0 $u https://doi.org/10.1007/978-3-030-84122-5
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)