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Hermite-Hadamard type inequalities for multiplicatively p-convex functions

Journal of Inequalities and Applications, 2023
In 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.
Serap Özcan
doaj   +4 more sources

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.
Meriem Merad, Badreddine Meftah, Abdelkader Moumen, Mohamed Bouye   +3 more
doaj   +3 more sources

Hermite–Hadamard type inequalities for multiplicatively harmonic convex functions

Journal of Inequalities and Applications, 2023
In this work, the notion of a multiplicative harmonic convex function is examined, and Hermite–Hadamard inequalities for this class of functions are established.
Serap Özcan, Saad Ihsan Butt
doaj   +4 more sources

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 ...
Serap Özcan
doaj   +6 more sources

Schur m-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 functions Fn,k(x,r)=∏1 ...
Wen Wang, Shiguo Yang
doaj   +5 more sources

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   +4 more sources

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
openaire   +2 more sources

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
openaire   +3 more sources

Wright type multiplicatively convex functions [PDF]

Mathematical Inequalities & Applications, 2015
The notion of Wright type multiplicatively convex functions is introduced. Relationships between such functions and multiplicatively convex functions are investigated, and a counterpart of the Ng representation theorem for Wright convex functions is ...
Kaizhong Guan
openaire   +2 more sources

Hermite-Hadamard type inequalities for exponential type multiplicatively convex functions

Filomat, 2023
In this paper, we defined and studied the concept of exponential type multiplicatively convex functions and some of their algebraic properties. We derived Hermite-Hadamard inequalities for this class of functions. We also established new Hermite-Hadamard type inequalities for the product and quotient of exponential type multiplicatively ...
S. Özcan
openaire   +2 more sources