N-convex functions - Open Access .click

Mathematical Inequalities & Applications, 2023
Summary: We obtain new results on the Hardy-type inequality in the general context, in terms of measure spaces with positive \(\sigma\)-finite measures. The connection is made between the difference operator derived from the Hardy-type inequality on the one hand and the expression containing the interpolating polynomial of Abel-Gontscharoff and the ...
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Best φ-approximation by n-convex functions

Numerical Functional Analysis and Optimization, 1999
A n-convex function defined on a bounded open interval J 0 n ≥2 is the (n−l)-st indefinite integral of a nondecreasing function. This fact and the simple structure of the latter enable to obtain concrete results about a n-convex best φ approximation g to a function f ∊ L φ on J 0, where φ: [0, ∞) → [0, ∞) is a convex function that generaJizes the pth ...
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On linear combinations of n convex functions of order a

International Journal of Mathematical Education in Science and Technology, 1989
By suitably generalizing a lemma of R. K. Stump, the authors obtain discs in which convex linear combinations of n convex functions of order a are starlike and convex. This is a generalization of a result of H. Silverman and E. Silvia.
S. Bhargava, S. Nanjunda Rao
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(C-K)-strongly n-convex functions in linear spaces

Commentationes Mathematicae, 2013
The notion of strongly n-convex functions with a control symmetric ()n\)-linear function (\varphi\) in the class of functions acting from one real linear space to another one are introduced. Some connections between such functions and \(n\)-convex functions are also given.
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convex function
mathematics
čebyšev functional

hermite–hadamard inequality
inequalities for sums, series and integrals
26d15

means
green function
analysis