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On Shannon and Zipf–Mandelbrot entropies and related results construct new family of exponentially convex functions and Cauchy-type means. © 2019, The Author(s).

Generalized Volterra functions, its integral representations and applications to the Mathieu-type series representations for them via Fox-Wright H-functions and Meijer G-functions. From positivity conditions

Generalized fractional integral inequalities for exponentially (s, m) -convex functions) -convex functions. These inequalities provide upper bounds, boundedness, continuity, and Hadamard type

HERMITE INTERPOLATION WITH GREEN FUNCTIONS AND POSITIVITY OF GENERAL LINEAR INEQUALITIES FOR n-CONVEX FUNCTIONSWe state new general linear identities and inequalities involving n-convex functions using Hermite

On estimates for solutions of systems of convex inequalities inequalities described by convex functions is estimated. As consequences, estimates for the distance from a

On (h, g; m)-Convexity and the Hermite-Hadamard InequalityA new class of (h, g; m)-convex functions is presented, together with its properties, thus

POPOVICIU TYPE INEQUALITIES FOR HIGHER ORDER CONVEX FUNCTIONS VIA LIDSTONE INTERPOLATION Sigma(m)(i=1) p(i)f(x(i)) , where f is an n-convex function with even n. We also give integral analogues

Refinements of Some Integral Inequalities for s,m -Convex FunctionsIn this paper, the refinements of integral inequalities for all those types of convex functions

The punishing factors for convex pairs are 2n-1, nonanalytic, characterization of bijective convex functions h : Δ → Ω not using the second derivative of h.

Boundedness of fractional integral operators containing mittag-leffler functions via (S, m)-convexity Mittag-Leffler functions in the kernels. By using (s, m)-convex functions bounds of these operators

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