Advances in Mathematical Inequalities and Applications

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...

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Bibliographic Details
Format: Electronic eBook
Language:English
Published: Singapore : Springer Singapore, 2018.
Edition:1st ed. 2018.
Series:Trends in Mathematics,
Subjects:
Functions of real variables.
Functional analysis.
Probabilities.
Operator theory.
ISBN:9789811330131
ISSN:2297-0215
Online Access: Get full text
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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.

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