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On a variant of Čebyšev’s inequality of the Mercer type establish bounds for Čebyšev’s functional of the Mercer type and bounds for the Jensen–Mercer functional
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
HERMITE INTERPOLATION WITH GREEN FUNCTIONS AND POSITIVITY OF GENERAL LINEAR INEQUALITIES FOR n-CONVEX FUNCTIONS generalizations of general linear inequalities are given by using Cebysev functional, Ostrowski- and Gruss- types
Generalizations of Some Hardy-Littlewood-Pólya Type Inequalities and Related Results-Littlewood-Pólya type inequalities. In addition, we use the Čebyšev functional and the Grüss type inequalities and find
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
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
Positivity of sums and integrals for n-convex functions via the Fink identity and new Green functions. Analogous for integral (Formula Presented) is also given. Represen-tation of a function f via the Fink
Positivity of sums and integrals for n-convex functions via the Fink identityWe consider the positivity of the sum Σ i=1 ; n ρ i F(ξ i ), where F is a convex function of higher
Majorization inequalities via Green functions and Fink’s identity with applications to Shannon entropy by using well-known Fink’s identity and new types of Green functions, introduced by Mehmood et al. (J
Difference equations related to majorization theorems via Montgomery identity and Green’s functions with application to the Shannon entropy of the Montgomery identity and newly defined Green’s functions (Mehmood et al. in J. Inequal. Appl. 2017
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