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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
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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.
Meriem Merad +3 more
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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
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Companion of Ostrowski Inequality for Multiplicatively Convex Functions [PDF]
Sahand Communications in Mathematical AnalysisThe objective of this paper is to examine integral inequalities related to multiplicatively differentiable functions. Initially, we establish a novel identity using the two-point Newton-Cotes formula for multiplicatively differentiable functions.
Badreddine Meftah +3 more
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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
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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
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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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Refinement of Midpoint and Trapezoid Type Inequalities for Multiplicatively Convex Functions [PDF]
Sahand Communications in Mathematical AnalysisIn this study, we first establish two new identities for multiplicative differentiable functions. Based on these identities, we derive the midpoint and trapezoid type inequalities.
Amel Berhail, Badreddine Meftah
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Simpson, midpoint, and trapezoid-type inequalities for multiplicatively s-convex functions
Demonstratio MathematicaIn 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
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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 +3 more
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