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MAJORIZATION INEQUALITIES VIA PEANO'S REPRESENTATION OF HERMITE'S POLYNOMIALThe Peano's representation of Hermite polynomial and new Green functions are used to construct
Majorization inequalities via Green functions and Fink’s identity with applications to Shannon entropy. Inequal. Appl. 2017:108, 2017). We give a generalized majorization theorem for the class of 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
Construction of Szeg˝o and Poisson Kernels in Convex DomainsIn this paper, we construct Szeg˝o and Poisson kernels in convex domains in Cn and study
Geometric Properties of Integral Representations in the Inverse Problem of a Simple Layer Potential of these coefficients as a point of the plane to this domain is equivalent to the convexity. Estimates
Radii of convexity and close-to-convexity of certain integral representationsStrict upper bounds are determined for |s(z)|, |Re s(z)|, and |Im s(z) | in the class of functions
Mutual bounds for Jensen-type operator inequalities related to higher order convexity of the Lah-Ribarič inequality which hold for a class of n-convex functions. By virtue of the established
Hardy type L p-inequalities in r-close-to-convex domains© 2015, Allerton Press, Inc. We describe non-convex domains for which the Hardy constants
Inequalities for the extended positive part of a von Neumann algebra related to operator-monotone and operator-convex functions monotone and operator convex functions onto elements of the extended positive part of a von Neumann algebra
On the coefficients of concave univalent functions domain whose complement with respect to ℂ̄ is convex. We call these functions concave univalent functions
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