國立虎尾科技大學 |

Advances in Mathematical Inequalities and Applications

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Advances in Mathematical Inequalities and Applications/ edited by Praveen Agarwal, Silvestru Sever Dragomir, Mohamed Jleli, Bessem Samet.
其他作者:	Agarwal, Praveen.
面頁冊數:	X, 349 p. 26 illus., 22 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Functions of real variables. -
電子資源:	https://doi.org/10.1007/978-981-13-3013-1
ISBN:	9789811330131

Advances in Mathematical Inequalities and Applications
Advances in Mathematical Inequalities and Applications[electronic resource] /edited by Praveen Agarwal, Silvestru Sever Dragomir, Mohamed Jleli, Bessem Samet. - 1st ed. 2018. - X, 349 p. 26 illus., 22 illus. in color.online resource. - Trends in Mathematics,2297-0215. - Trends in Mathematics,.

Chapter 1. Inequalities for the Generalized k-g-Fractional Integrals in Terms of Double Integral Means -- Chapter 2. Fixed Point Approach to Solution Existence of Differential Equations -- Chapter 3. Lyapunov Inequalities for Some Differential Equations with Integral Type Boundary Conditions -- Chapter 4. A New Class of Generalized Convex Functions and Integral Inequalities -- Chapter 5. Redheffer Type Inequalities for the Fox-Wright Functions -- Chapter 6. Relations of the Extended Voigt Function with other Families of Polynomials and Numbers -- Chapter 7. Nonlinear Dynamical Model for DNA -- Chapter 8. A Variety of Nonlinear retarded Integral Inequalities of Gronwall-type and their Applications -- Chapter 9. On the Integral Inequalities for Riemann–Liouville and Conformable Fractional Integrals -- Chapter 10. Weighted Integral Inequalities in Terms of Omega–Fractional Integro-Differentiation -- Chapter 11. On Sherman Method to Deriving Inequalities for Some Classes of Functions Related to Convexity -- Chapter 12. Divisibility of Class Numbers of Quadratic Fields: Qualitative Aspect -- Chapter 13. Some Identities on Derangement and Degenerate Derangement Polynomials -- Chapter 14. Some Perturbed Ostrowski Type Inequalities for Twice Differentiable Functions -- Chapter 15. Comprehensive Inequalities and Equations Specified by the Mittag–Leffler Functions and Fractional Calculus in the Complex Plane -- Chapter 16. Novel Results on Hermite–Hadamard Kind Inequalities for Convex Functions by Means of (k; r)-Fractional Integral Operators -- Chapter 17. A Family of Integral Inequalities on the Interval [1; 1] -- Chapter 18. A Generalization of Cauchy–Bunyakovsky Integral Inequality via Means with Max and Min Values.

This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators, functionals, integrals and their applications in various branches of mathematics and related sciences; fractional integral inequalities; and weighted type integral inequalities. It also presents their wide applications in biomathematics, boundary value problems, mechanics, queuing models, scattering, and geomechanics in a concise, but easily understandable way that makes the further ramifications and future directions clear. The broad scope and high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers. All the contributing authors are leading international academics, scientists, researchers and scholars. .

ISBN: 9789811330131

Standard No.: 10.1007/978-981-13-3013-1doiSubjects--Topical Terms:

792248
Functions of real variables.

LC Class. No.: QA331.5

Dewey Class. No.: 515.8

Advances in Mathematical Inequalities and Applications
LDR:04125nam a22003975i 4500 001 987970
003 DE-He213
005 20200703185235.0
007 cr nn 008mamaa
008 201225s2018 si | s |||| 0|eng d
020 $a 9789811330131 $9 978-981-13-3013-1
024 7 $a 10.1007/978-981-13-3013-1 $2 doi
035 $a 978-981-13-3013-1
050 4 $a QA331.5
072 7 $a PBKB $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKB $2 thema
082 0 4 $a 515.8 $2 23
245 1 0 $a Advances in Mathematical Inequalities and Applications $h [electronic resource] / $c edited by Praveen Agarwal, Silvestru Sever Dragomir, Mohamed Jleli, Bessem Samet.
250 $a 1st ed. 2018.
264 1 $a Singapore : $b Springer Singapore : $b Imprint: Birkhäuser, $c 2018.
300 $a X, 349 p. 26 illus., 22 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 Trends in Mathematics, $x 2297-0215
505 0 $a Chapter 1. Inequalities for the Generalized k-g-Fractional Integrals in Terms of Double Integral Means -- Chapter 2. Fixed Point Approach to Solution Existence of Differential Equations -- Chapter 3. Lyapunov Inequalities for Some Differential Equations with Integral Type Boundary Conditions -- Chapter 4. A New Class of Generalized Convex Functions and Integral Inequalities -- Chapter 5. Redheffer Type Inequalities for the Fox-Wright Functions -- Chapter 6. Relations of the Extended Voigt Function with other Families of Polynomials and Numbers -- Chapter 7. Nonlinear Dynamical Model for DNA -- Chapter 8. A Variety of Nonlinear retarded Integral Inequalities of Gronwall-type and their Applications -- Chapter 9. On the Integral Inequalities for Riemann–Liouville and Conformable Fractional Integrals -- Chapter 10. Weighted Integral Inequalities in Terms of Omega–Fractional Integro-Differentiation -- Chapter 11. On Sherman Method to Deriving Inequalities for Some Classes of Functions Related to Convexity -- Chapter 12. Divisibility of Class Numbers of Quadratic Fields: Qualitative Aspect -- Chapter 13. Some Identities on Derangement and Degenerate Derangement Polynomials -- Chapter 14. Some Perturbed Ostrowski Type Inequalities for Twice Differentiable Functions -- Chapter 15. Comprehensive Inequalities and Equations Specified by the Mittag–Leffler Functions and Fractional Calculus in the Complex Plane -- Chapter 16. Novel Results on Hermite–Hadamard Kind Inequalities for Convex Functions by Means of (k; r)-Fractional Integral Operators -- Chapter 17. A Family of Integral Inequalities on the Interval [1; 1] -- Chapter 18. A Generalization of Cauchy–Bunyakovsky Integral Inequality via Means with Max and Min Values.
520 $a This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators, functionals, integrals and their applications in various branches of mathematics and related sciences; fractional integral inequalities; and weighted type integral inequalities. It also presents their wide applications in biomathematics, boundary value problems, mechanics, queuing models, scattering, and geomechanics in a concise, but easily understandable way that makes the further ramifications and future directions clear. The broad scope and high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers. All the contributing authors are leading international academics, scientists, researchers and scholars. .
650 0 $a Functions of real variables. $3 792248
650 0 $a Functional analysis. $3 527706
650 0 $a Probabilities. $3 527847
650 0 $a Operator theory. $3 527910
650 1 4 $a Real Functions. $3 672094
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
650 2 4 $a Operator Theory. $3 672127
700 1 $a Agarwal, Praveen. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1210535
700 1 $a Dragomir, Silvestru Sever. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 888908
700 1 $a Jleli, Mohamed. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1210536
700 1 $a Samet, Bessem. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1210537
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789811330124
776 0 8 $i Printed edition: $z 9789811330148
830 0 $a Trends in Mathematics, $x 2297-0215 $3 1255806
856 4 0 $u https://doi.org/10.1007/978-981-13-3013-1
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)