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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
Levinson type inequalities for higher order convex functions via Abel–Gontscharoff interpolationIn this paper, Levinson type inequalities are studied for the class of higher order convex
Fejér type inequalities for higher order convex functions and quadrature formulaeThe aim of this paper is to obtain Fejér type inequalities for higher order convex functions
Mutual bounds for Jensen-type operator inequalities related to higher order convexity related to convex functions of higher order. First we give several mutual bounds for the operator version
Several new cyclic Jensen type inequalities and their applications of obtaining new generalizations of cyclic refinements of Jensen’s inequality from convex to higher order
Generalization of cyclic refinements of Jensen’s inequality by Fink’s identityWe generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-order
Estimation of f-divergence and shannon entropy by levin-son type inequalities for higher order convex functions via taylor polynomial of k-convex (k ≥ 3) functions. Bounds for the remainders in new generalized identities involving data
Estimation of f-divergence and Shannon entropy by using Levinson type inequalities for higher order convex functions via Hermite interpolating polynomial of n-convex functions. In seek of application to information theory, some estimates for new functional
Generalized Steffensen's inequality by Fink's Identity related to Steffensen's inequality. Under the assumptions of n-convexity and n-concavity, we give new
Positivity of Sums and Integrals for n-Convex Functions via Abel-Gontscharoff's Interpolating Polynomial and Green FunctionsWe consider positivity of sum Sigma(n)(i=1) p(i)f(x(i)) involving convex functions of higher order
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