Handbook of Functional Equations

Functional Inequalities

Editors:

ISBN: 978-1-4939-1245-2 (Print) 978-1-4939-1246-9 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages i-xi

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    Chapter

    Pages 1-13

    On a Relation Between the Hardy–Hilbert and Gabriel Inequalities

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    Chapter

    Pages 15-42

    Mathematical Models of Mechanical Fields in Media with Inclusions and Holes

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    Chapter

    Pages 43-55

    A Note on the Functions that Are Approximately p-Wright Affine

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    Chapter

    Pages 57-73

    Multiplicative Ostrowski and Trapezoid Inequalities

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    Chapter

    Pages 75-104

    A Survey on Ostrowski Type Inequalities for Riemann–Stieltjes Integral

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    Chapter

    Pages 105-127

    Invariance in the Family of Weighted Gini Means

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    Chapter

    Pages 129-146

    Functional Inequalities and Analysis of Contagion in the Financial Networks

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    Chapter

    Pages 147-160

    Comparisons of Means and Related Functional Inequalities

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    Chapter

    Pages 161-208

    Constructions and Extensions of Free and Controlled Additive Relations

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    Chapter

    Pages 209-245

    Extremal Problems in Polynomials and Entire Functions

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    Chapter

    Pages 247-271

    On Approximation Properties of Szász–Mirakyan Operators

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    Chapter

    Pages 273-280

    Generalized Hardy–Hilbert Type Inequalities on Multiple Weighted Orlicz Spaces

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    Chapter

    Pages 281-313

    Inequalities for the Fisher’s Information Measures

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    Chapter

    Pages 315-325

    Applications of Functional Equations to Dirichlet Problem for Doubly Connected Domains

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    Chapter

    Pages 327-364

    Sign-Changing Solutions for Nonlinear Elliptic Problems Depending on Parameters

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    Chapter

    Pages 365-405

    On Strongly Convex Functions and Related Classes of Functions

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    Chapter

    Pages 407-417

    Some New Algorithms for Solving General Equilibrium Problems

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    Chapter

    Pages 419-458

    Contractive Operators in Relational Metric Spaces

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    Chapter

    Pages 459-534

    Half-Discrete Hilbert-Type Inequalities, Operators and Compositions

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    Chapter

    Pages 535-555

    Some Results Concerning Hardy and Hardy Type Inequalities