[PDF][PDF] On interval-valued K-Riemann integral and Hermite-Hadamard type inequalities

Z Sha, G Ye, D Zhao, W Liu - AIMS Mathematics, 2021 - aimspress.com
We introduce the concepts of K-Riemann integral and radial K-gH-derivative for
intervalvalued functions. We also give some important properties of interval-valued K …

On the -Riemann integral and Hermite–Hadamard inequalities for -convex functions

A Olbryś - Aequationes mathematicae, 2017 - Springer
In the present paper we introduce a notion of the K K-Riemann integral as a natural
generalization of a usual Riemann integral and study its properties. The aim of this paper is …

E-subdifferential of E-convex Functions and its Applications to Minimization Problem

T Antczak, N Abdulaleem - Taiwanese Journal of Mathematics, 2023 - JSTOR
In this paper, a new concept of the subdifferential is defined for nondifferentiable (not
necessarily) locally Lipschitz functions. Namely, the concept of E-subdifferential and the …

[HTML][HTML] Strong geometric derivatives

Z Boros, P Tóth - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
For a real valued function f, defined on an open interval I, and an arbitrary real number h, we
consider the lower and upper limits of 2 n (f (y+ h 2 n)− f (y)) whenever n tends to infinity and …

On strong $(\alpha,\F) $-convexity

J Makó, K Nikodem, Z Páles - arxiv preprint arxiv:1212.0887, 2012 - arxiv.org
In this paper, strongly $(\alpha, T) $-convex functions, ie, functions $ f: D\to\R $ satisfying the
functional inequality $$ f (tx+ (1-t) y)\leq tf (x)+(1-t) f (y)-t\alpha\big ((1-t)(xy)\big)-(1 …

Approximate convexity with respect to a subfield

Z Boros, N Nagy - Acta Mathematica Hungarica, 2017 - Springer
Let FF be a subfield of RR and X be a linear space over F F. Let D ⊆ XD⊆ X be a nonempty
F F-convex set, D^*:= DD:={xy: x, y ∈ D\} D∗:= DD:= xy: x, y∈ D, and α : D^* → R α: D∗→ R …

The Multiple ‐Riemann Integral

O Kabbouch, M Najmeddine - Abstract and Applied Analysis, 2021 - Wiley Online Library
The aim of this paper is to extend the notion of K‐Riemann integrability of functions defined
over [a, b] to functions defined over a rectangular box of ℝn. As a generalization of step …

[PDF][PDF] Research Article The Multiple K-Riemann Integral

O Kabbouch, M Najmeddine - 2021 - academia.edu
The aim of this paper is to extend the notion of K-Riemann integrability of functions defined
over [a, b] to functions defined over a rectangular box of ℝn. As a generalization of step …

[PDF][PDF] Report of Meeting. The Fifteenth Katowice-Debrecen Winter Seminar, Będlewo (Poland), January 28–31, 2015

R AMSil - Annales Mathematicae Silesianae, 2015 - intapi.sciendo.com
The scientific talks presented at the Seminar focused on the following topics: equations in a
single variable and in several variables, iteration theory, equations on abstract algebraic …

[HTML][HTML] Convexity and the difference property

R Ger - Indagationes Mathematicae, 2013 - Elsevier
Convexity and the difference property - ScienceDirect Skip to main contentSkip to article
Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue Search …