Advances in Mathematical Inequalities and Applications

✍ Scribed by Praveen Agarwal, Silvestru Sever Dragomir, Mohamed Jleli, Bessem Samet

• Publisher: Springer Singapore;Birkhäuser
• Year: 2018
• Tongue: English
• Leaves: 351
• Series: Trends in Mathematics
• Edition: 1st ed.
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-x
Inequalities for the Generalized k-g-Fractional Integrals in Terms of Double Integral Means (Silvestru Sever Dragomir)....Pages 1-27
Existence Theory on Modular Metric Spaces (Anantachai Padcharoen, Parin Chaipunya, Poom Kumam)....Pages 29-57
Lyapunov Inequalities for Some Differential Equations with Integral-Type Boundary Conditions (Rui A. C. Ferreira)....Pages 59-70
A New Class of Generalized Convex Functions and Integral Inequalities (Mohamed Jleli, Donal O’Regan, Bessem Samet)....Pages 71-89
Redheffer-Type Inequalities for the Fox–Wright Functions (Khaled Mehrez)....Pages 91-100
Relations of the Extended Voigt Function with Other Families of Polynomials and Numbers (M. A. Pathan)....Pages 101-114
Nonlinear Dynamical Model for DNA (Haci Mehmet Baskonus, Carlo Cattani)....Pages 115-141
A Variety of Nonlinear Retarded Integral Inequalities of Gronwall Type and Their Applications (A. A. El-Deeb)....Pages 143-164
On the Integral Inequalities for Riemann–Liouville and Conformable Fractional Integrals (M. Emin Ozdemir, Ahmet Ocak Akdemir, Erhan Set, Alper Ekinci)....Pages 165-198
Weighted Integral Inequalities in Terms of Omega-Fractional Integro-Differentiation (P. Agarwal, A. M. Jerbashian, J. E. Restrepo)....Pages 199-217
On Sherman Method to Deriving Inequalities for Some Classes of Functions Related to Convexity (Marek Niezgoda)....Pages 219-245
Divisibility of Class Numbers of Quadratic Fields: Qualitative Aspects (Kalyan Chakraborty, Azizul Hoque, Richa Sharma)....Pages 247-264
Some Identities on Derangement and Degenerate Derangement Polynomials (Taekyun Kim, Dae San Kim)....Pages 265-277
Some Perturbed Ostrowski Type Inequalities for Twice Differentiable Functions (Hüseyin Budak, Mehmet Zeki Sarikaya, Silvestru Sever Dragomir)....Pages 279-294
Comprehensive Inequalities and Equations Specified by the Mittag-Leffler Functions and Fractional Calculus in the Complex Plane (Hüseyin Irmak, Praveen Agarwal)....Pages 295-310
Novel Results on Hermite–Hadamard Kind Inequalities for (\eta )-Convex Functions by Means of (k, r)-Fractional Integral Operators (Eze R. Nwaeze, Delfim F. M. Torres)....Pages 311-321
A Family of Integral Inequalities on the Interval ([-1,1]) (Ali Hafidi, Moulay Rchid Sidi Ammi, Praveen Agarwal)....Pages 323-331
A Generalization of Cauchy–Bunyakovsky Integral Inequality Via Means with Max and Min Values (P. Agarwal, A. A. Korenovskii, S. M. Sitnik)....Pages 333-349

✦ Subjects

Mathematics; Real Functions; Functional Analysis; Probability Theory and Stochastic Processes; Operator Theory