Results 1 to 10 of about 251 (126)

Simpson, midpoint, and trapezoid-type inequalities for multiplicatively s-convex functions

Demonstratio Mathematica
In this study, we establish new generalizations and results for Simpson, midpoint, and trapezoid-type integral inequalities within the framework of multiplicative calculus. We begin by proving a new identity for multiplicatively differentiable functions.
Özcan Serap
doaj   +3 more sources

Fractional integral inequalities for strongly convex functions via multiplicative calculus with applications

Boundary Value Problems
In this paper, we introduce the concept of strongly multiplicative convex functions and establish Hermite–Hadamard (HH)-type integral inequalities using the Atangana–Baleanu (AB) fractional integral operator within the framework of multiplicative ...
Saad Ihsan Butt, Dawood Khan, Valer-Daniel Breaz, Luminita-Ioana Cotîrlǎ, Bandar Bin Mohsin   +4 more
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Injectiveness and Discontinuity of Multiplicative Convex Functions [PDF]

Mathematics, 2021
In the present work we study the set of multiplicative convex functions. In particular, we focus on the properties of injectiveness and discontinuity. We will show that a non constant multiplicative convex function is at most 2-injective, and construct multiplicative convex functions which are discontinuous at infinitely many points.
Pablo Jiménez-Rodríguez, María E. Martínez-Gómez, Gustavo A. Muñoz-Fernández, Juan B. Seoane-Sepúlveda   +3 more
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Hermite–Hadamard type inequalities for multiplicatively harmonic convex functions

Journal of Inequalities and Applications, 2023
AbstractIn this work, the notion of a multiplicative harmonic convex function is examined, and Hermite–Hadamard inequalities for this class of functions are established. Many inequalities of Hermite–Hadamard type are also taken into account for the product and quotient of multiplicative harmonic convex functions.
Serap Özcan, Saad Ihsan Butt
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Fractional Maclaurin-type inequalities for multiplicatively convex functions and multiplicatively P-functions

Filomat, 2023
In this paper, we present a fractional integral identity, and then based upon it we establish the Maclaurin?s inequalities for multiplicatively convex functions and multiplicatively P-functions via multiplicative Riemann-Liouville fractional integrals.
Yu Peng, Tingsong Du
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Fractional Maclaurin-Type Inequalities for Multiplicatively Convex Functions

Fractal and Fractional, 2023
This paper’s major goal is to prove some symmetrical Maclaurin-type integral inequalities inside the framework of multiplicative calculus. In order to accomplish this and after giving some basic tools, we have established a new integral identity. Based on this identity, some symmetrical Maclaurin-type inequalities have been constructed for functions ...
Meriem Merad, Badreddine Meftah, Abdelkader Moumen, Mohamed Bouye   +3 more
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Hermite-Hadamard type inequalities for multiplicatively p-convex functions

Journal of Inequalities and Applications, 2023
AbstractIn this paper, we introduced the concept of multiplicatively p-convex functions and established Hermite-Hadamard type integral inequalities in the setting of multiplicative calculus for this newly created class of functions. We also gave integral inequalities of Hermite-Hadamard type for product and quotient of multiplicatively p-convex ...
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Multiple Integral Inequalities for Schur Convex Functions on Symmetric and Convex Bodies

Analysis in Theory and Applications, 2023
In this paper, by making use of Divergence theorem for multiple integrals, we establish some integral inequalities for Schur convex functions defined on bodies $B⊂\mathbb{R}^n$ that are symmetric, convex and have nonempty interiors. Examples for three dimensional balls are also provided.
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Dual Simpson type inequalities for multiplicatively convex functions

Filomat, 2023
In this paper we propose a new identity for multiplicative differentiable functions, based on this identity we establish a dual Simpson type inequality for multiplicatively convex functions. Some applications of the obtained results are also given.
Meftah, Badreddine, Lakhdari, Abdelghani
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Schurm-Power Convexity of a Class of Multiplicatively Convex Functions and Applications [PDF]

Abstract and Applied Analysis, 2014
We investigate the conditions under which the symmetric functionsFn,k(x,r)=∏1≤i1<i2<⋯<ik≤n ‍f(∑j=1k‍xijr)1/r,  k=1,2,…,n,are Schurm-power convex forx∈R++nandr>0. As a consequence, we prove that these functions are Schur geometrically convex and Schur harmonically convex, which generalizes some known results.
Wang, Wen, Yang, Shiguo
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