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INTEGRAL ERROR REPRESENTATION OF HERMITS INTERPOLATING POLYNOMIALS AND RELATED GENERALIZATIONS OF STEFFENSEN'S INEQUALITY for n-convex functions and to give some bounds for integrals in these representations.

Radii of convexity and close-to-convexity of certain integral representations s(z)=anzn+an+1zn+1+... (n1) regular in |z|<1 and satisfying the condition |u (θ1) -u (θ2) |≤K| θ1-θ2

The method of multipliers for nonlinearly constrained variational inequalities and convex differentiable constraints is considered. We prove the convergence of the method with an arbitrary

Dual approach for a class of implicit convex optimization problems as a generalization of a convex optimization problem under arbitrary right-hand side constraint

On operator monotone and operator convex functions© 2016, Allerton Press, Inc.We establish monotonicity and convexity criteria for a continuous

Analytic functions with polar and logarithmic singularities and locally convex boundary values at the infinity and generalize univalent convex functions defined in the exterior of the unit disc. We prove sharp

Concerning the Inequality of Hermite-Hadamard Generalized for convex functions, within the framework of a generalized operator integral. Results are general in nature

Generalized Jensen’s functional on time scales via extended Montgomery identityIn the paper, we use Jensen’s inequality for diamond integrals and generalize it for n-convex

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

Hardy Type Inequalities on Domains with Convex Complement and Uncertainty Principle of Heisenberg-empty convex set. We prove an extension of the Hadwiger theorems about approximations of convex compact sets

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