On some inequalities for uniformly convex mapping with estimations to normal distributions

DOI10.1186/s13660-023-02997-zMaRDI QIDQ6142180

Saad Ihsan Butt, Yamin Sayyari, Muhammad Awais Umar, Praveen Agarwal, Juan. J. Nieto

Publication date: 21 December 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

fractional integralsintegral inequalitiesuniformly convex functionsHermite-Mercer inequality

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (1)

fgh -Convex Functions and Entropy Bounds

Cites Work

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• A generalization of Mercer's result on convex functions
• Ostrowski type inequalities for functions whose derivatives are \(s\)-convex in the second sense
• Advances in mathematical inequalities and applications
• On a new class of fractional operators
• Some inequalities via fractional conformable integral operators
• Generalized \(k\)-fractional conformable integrals and related inequalities
• New entropy bounds via uniformly convex functions
• New Hermite-Jensen-Mercer-type inequalities via \(k\)-fractional integrals
• Hermite-Jensen-Mercer type inequalities for Caputo fractional derivatives
• New estimates for Csiszár divergence and Zipf-Mandelbrot entropy via Jensen-Mercer's inequality
• Improvement and generalization of some Jensen-Mercer-type inequalities
• Some notes on Jensen-Mercer's type inequalities; extensions and refinements with applications
• Some Hermite-Jensen-Mercer like inequalities for convex functions through a certain generalized fractional integrals and related results
• Refinements of the operator Jensen-Mercer inequality
• Convex analysis and monotone operator theory in Hilbert spaces
• On uniformly convex functions
• Convex functions and their applications. A contemporary approach
• Weighted Hermite–Hadamard–Mercer type inequalities for convex functions

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