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On Zipf-Mandelbrot entropy and 3-convex functions the n-exponential convexity and the log-convexity of the functions associated with the linear

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

GENERALIZATION OF MAJORIZATION THEOREM-II deduced from our generalized results by using the family of (n + 1)-convex functions at a point. We give

GENERALIZED STEFFENSEN-TYPE INEQUALITIES BY ABEL-GONTSCHAROFF POLYNOMIAL, we present mean value theorems and n-exponential convexity for these functionals. We also give

FURTHER IMPROVEMENT OF AN EXTENSION OF HOLDER-TYPE INEQUALITY functionals. Moreover, we study the action of related linear functionals on families of exponentially convex

Generalized fractional integral inequalities for exponentially (s, m) -convex functions fractional integral operators for s-convex, m-convex, (s, m) -convex, exponentially convex, exponentially s-convex

On (h, g; m)-Convexity and the Hermite-Hadamard Inequality or exponentially (s, m)-convex functions. Also, the Hermite-Hadamard inequality for an (h, g; m)convex function

Generalization of cyclic refinements of Jensen’s inequality by Fink’s identity of the linear functionals obtained from these identities utilizing the theory of inequalities for n-convex

GENERALIZED STEFFENSEN'S INEQUALITY BY MONTGOMERY IDENTITIES AND GREEN FUNCTIONS + 1)-convex functions and exponentially convex functions.

The punishing factors for convex pairs are 2n-1 with the set A(Ω, ∏) of functions f : Ω → ∏ holomorphic on Ω and we prove estimates for |f(n)(z)|, f ∈ A(Ω, Ω

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