4.7 Article

On Certain Inequalities for Several Kinds of Strongly Convex Functions for q-h-Integrals

Journal

FRACTAL AND FRACTIONAL
Volume 7, Issue 10, Pages -

Publisher

MDPI
DOI: 10.3390/fractalfract7100705

Keywords

q-derivative/integral; q-h-derivative/integral; convex function; strongly convex function; Hermite-Hadamard inequality

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This article investigates inequalities for certain types of strongly convex functions using q-h integrals, providing refinements of well-known results for (alpha, m)- and ((h) over bar -m)-convex and related functions. Inequalities for q-integrals can be derived by setting the parameter h to zero. Some particular cases are discussed after proving the main results.
This article investigates inequalities for certain types of strongly convex functions by applying q-h-integrals. These inequalities provide the refinements of some well-known results that hold for (alpha, m)- and ((h) over bar -m)-convex and related functions. Inequalities for q-integrals are deducible by vanishing the parameter h. Some particular cases are discussed after proving the main results.

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