Advances in Mathematical Inequalities and Applications

• Corporate Author: SpringerLink (Online service)
• Other Authors: Agarwal, Praveen (Editor, http://id.loc.gov/vocabulary/relators/edt), Dragomir, Silvestru Sever (Editor, http://id.loc.gov/vocabulary/relators/edt), Jleli, Mohamed (Editor, http://id.loc.gov/vocabulary/relators/edt), Samet, Bessem (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Trends in Mathematics,
• Subjects: Functions of real variables.; Functional analysis.; Probabilities.; Operator theory.; Real Functions.; Functional Analysis.; Probability Theory and Stochastic Processes.; Operator Theory.

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, functiona...

Table of Contents:

• 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.