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Inequalities of Ando's Type for n-convex Functions-Lah-Ribarič inequality for solidarities that hold for a class of nconvex functions. As an application, main results
On (h, g; m)-Convexity and the Hermite-Hadamard InequalityA new class of (h, g; m)-convex functions is presented, together with its properties, thus
Levinson type inequalities for higher order convex functions via Abel–Gontscharoff interpolation found for the functionals involving data points of two types. © 2019, The Author(s).
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
Hardy Type Inequalities on Domains with Convex Complement and Uncertainty Principle of Heisenberg© 2019, Pleiades Publishing, Ltd. We prove new integral inequalities for real-valued test functions
Estimates for integral means of hyperbolically convex functions for the integral means of the derivatives of such functions and consider an example of a hyperbolically convex
Variational Geometric Approach to Generalized Differential and Conjugate Calculi in Convex AnalysisThis paper develops a geometric approach of variational analysis for the case of convex objects
To the theory of operator monotone and operator convex functionsWe prove that a real function is operator monotone (operator convex) if the corresponding
Rotations of convex harmonic univalent mappings)such that the function h+e iθ g is convex in D. In this article, we first disprove a more flexible conjecture: “Let f
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
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