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The punishing factors for convex pairs are 2n-1 with curvature and λ = -4 of Ω at z and of w, respectively. Then for any pair (Ω, ∏) of convex domains, f ∈ A
On Zipf-Mandelbrot entropy and 3-convex functions and the 3-convexity of the function. Further, we define linear functionals as the nonnegative differences
The punishing factors for convex pairs are 2n-1 with curvature and λ = -4 of Ω at z and of w, respectively. Then for any pair (Ω, ∏) of convex domains, f ∈ A
FURTHER IMPROVEMENT OF AN EXTENSION OF HOLDER-TYPE INEQUALITY their result in a measure theoretic sense and further improve it using log-convexity of related linear
HERMITE INTERPOLATION WITH GREEN FUNCTIONS AND POSITIVITY OF GENERAL LINEAR INEQUALITIES FOR n-CONVEX FUNCTIONSWe state new general linear identities and inequalities involving n-convex functions using Hermite
More accurate classes of jensen–type inequalities for convex and operator convex functionsMotivated by a recent refinement of the scalar Jensen inequality obtained via linear interpolation
GENERALIZATION OF MAJORIZATION THEOREM-IIThis paper begins with a rigorous study of convex functions with the goal of developing
On Shannon and Zipf–Mandelbrot entropies and related results and the Zipf–Mandelbrot entropies. Further, we define linear functionals and present their properties. We also
Generalization of cyclic refinements of Jensen’s inequality by Fink’s identity of the linear functionals obtained from these identities utilizing the theory of inequalities for n-convex
Bifurcations and new uniqueness criteria for critical points of hyperbolic derivatives the Behnke-Peschl linear convexity condition for Hartogs domains of special form. A specific rigidity effect
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