Some new integral inequalities for higher-order strongly exponentially convex functions

DOI10.1186/s13660-023-02952-yOpenAlexW4360609302MaRDI QIDQ6088807

Jaya Bisht, Nidhi Sharma, Abdelouahed Hamdi, Shashi Kant Mishra

Publication date: 14 December 2023

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

Full work available at URL: https://doi.org/10.1186/s13660-023-02952-y

zbMATH Keywords

convex functionsHermite-Hadamard inequalitiesexponentially convex functionsRiemann-Liouville fractional integrals

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)

Cites Work

• Some further refinements and extensions of the Hermite-Hadamard and Jensen inequalities in several variables
• Characterizations of inner product spaces by strongly convex functions
• Remarks on strongly convex functions
• Integral inequalities involving strongly convex functions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Some exact penalty results for nonlinear programs and mathematical programs with equilibrium constraints
• Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
• Exponentially concave functions and a new information geometry
• A numerical algorithm for solving higher-order nonlinear BVPs with an application on fluid flow over a shrinking permeable infinite long cylinder
• Hermite-Hadamard type inequalities for \(F\)-convex function involving fractional integrals
• Hermite-Hadamard type inequalities for exponentially \(p\)-convex functions and exponentially \(s\)-convex functions in the second sense with applications
• Some modifications in conformable fractional integral inequalities
• Hermite-Hadamard-Fejér type inequalities for \(p\)-convex functions
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• The nonlinear complementarity problem with applications. II
• On some inequalities for convex functions
• On strongly generalized convex functions
• AN IMPROVEMENT OF THE POWER-MEAN INTEGRAL INEQUALITY IN THE FRAME OF FRACTAL SPACE AND CERTAIN RELATED MIDPOINT-TYPE INTEGRAL INEQUALITIES
• On strongly generalized convex functions of higher order
• Inequalities
• \((p,r)\)-invex sets and functions
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