Characterization of approximately monotone and approximately Hölder functions

DOI10.7153/mia-2021-24-18zbMath1466.26008arXiv2007.07114OpenAlexW3133738879MaRDI QIDQ4991570

Angshuman R. Goswami, Zsolt Páles

Publication date: 3 June 2021

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.07114

zbMATH Keywords

Ostrowski-type inequalityHermite-Hadamard-type inequality\(\Phi\)-Hölder envelope\(\Phi\)-Hölder function\(\Phi\)-monotone envelope\(\Phi\)-monotone function

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Inequalities for sums, series and integrals (26D15) Monotonic functions, generalizations (26A48) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Systems of functional equations and inequalities (39B72) Functions of bounded variation, generalizations (26A45)

Related Items (1)

On approximately convex and affine functions

Cites Work

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• Approximate convexity and submonotonicity.
• On approximately monotone and approximately Hölder functions
• On approximately convex functions
• Approximate Monotonicity: Theory and Applications
• On $\varphi$-convexity

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