Results 1 to 10 of about 7,130 (129)

On the symmetrized s-divergence

Open Mathematics, 2020
In this study, we work with the relative divergence of type s,s∈ℝs,s\in {\mathbb{R}}, which includes the Kullback-Leibler divergence and the Hellinger and χ 2 distances as particular cases.
Simić Slavko, Alzaid Sara Salem, Aydi Hassen   +2 more
doaj   +2 more sources

Some Simpson- and Ostrowski-Type Integral Inequalities for Generalized Convex Functions in Multiplicative Calculus with Their Computational Analysis

Mathematics
Integral inequalities are very useful in finding the error bounds for numerical integration formulas. In this paper, we prove some multiplicative integral inequalities for first-time differentiable s-convex functions.
Xinlin Zhan, Abdul Mateen, Muhammad Toseef, Muhammad Aamir Ali   +3 more
doaj   +2 more sources

On parameterized inequalities for fractional multiplicative integrals

Demonstratio Mathematica
In this article, we present a one-parameter fractional multiplicative integral identity and use it to derive a set of inequalities for multiplicatively ss-convex mappings.
Badreddine Meftah, Fahd Jarad, Abdelghani Lakhdari   +2 more
exaly   +2 more sources

On the symmetrized S-divergence [PDF]

ITM Web of Conferences, 2019
In this paper we worked with the relative divergence of type s, s ∈ ℝ, which include Kullback-Leibler divergence and the Hellinger and χ2 distances as particular cases.
Simić Slavko
doaj   +1 more source

Hermite-hadamard type ınequalities for multiplicatively s-convex functions

Cumhuriyet Science Journal, 2020
In this paper, some integral inequalities of Hermite-Hadamard type for multiplicatively s-convex functions are obtained. Also, some new inequalities involving multiplicative integrals are established for product and quotient of convex and multiplicatively s-convex functions.
openaire   +4 more sources

Hermite–Hadamard-type inequalities for multiplicative harmonic $s$-convex functions

Ukrains’kyi Matematychnyi Zhurnal
UDC 517.5 We study the concept of multiplicative harmonic $s$-convex functions and establish Hermite–Hadamard integral inequalities for this class of functions. Furthermore, we derive a set of Hermite–Hadamard-type inequalities applicable to the product and quotient of multiplicative harmonic  $s$-convex functions.
Özcan, Serap, Uruş, Ayça, Butt, Saad Ihsan   +2 more
openaire   +2 more sources

On Katugampola Fractional Multiplicative Hermite-Hadamard-Type Inequalities

Mathematics
This paper presents a novel framework for Katugampola fractional multiplicative integrals, advancing recent breakthroughs in fractional calculus through a synergistic integration of multiplicative analysis. Motivated by the growing interest in fractional
Wedad Saleh, Badreddine Meftah, Muhammad Uzair Awan, Abdelghani Lakhdari   +3 more
doaj   +1 more source

Reciprocal Convex Costs for Ratio Matching: Axiomatic Characterization

Axioms
We study ratio-induced mismatch cost functions of the form c(s,o)=JιS(s)/ιO(o) built from positive scale maps ιS:S→R>0 and ιO:O→R>0 and a penalty J:(0,∞)→[0,∞).
Jonathan Washburn, Amir Rahnamai Barghi
doaj   +1 more source

On the multiparameterized fractional multiplicative integral inequalities

Journal of Inequalities and Applications
We introduce a novel multiparameterized fractional multiplicative integral identity and utilize it to derive a range of inequalities for multiplicatively s-convex mappings in connection with different quadrature rules involving one, two, and three points.
Mohammed Bakheet Almatrafi, Wedad Saleh, Abdelghani Lakhdari, Fahd Jarad, Badreddine Meftah   +4 more
doaj   +1 more source

Fractional Hermite–Hadamard Inequalities in Non-Newtonian Calculus Focusing on h-GG-Convex Functions

International Journal of Mathematics and Mathematical Sciences
The aim of this paper is to develop new Hermite–Hadamard–type inequalities within the framework of fractional GG-multiplicative calculus. By employing the GG-multiplicative Riemann–Liouville fractional integral operators, we introduce a novel class of ...
Bouharket Benaissa, Safa M. Mirgani, Khaled Zennir, Keltoum Bouhali   +3 more
doaj   +1 more source