Results 11 to 20 of about 133,201 (197)
Companion of Ostrowski Inequality for Multiplicatively Convex Functions [PDF]
The 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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A class of symmetric functions for multiplicatively convex function [PDF]
A new symmetric function, which generalizes Hamy symmetric function, is defined. Its properties, including Schur-geometric convexity, are investigated. Some analytic inequalities are also established. Mathematics subject classification (2000): 26A51, 26D15, 0E05.
Kaizhong Guan
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In this paper, an integral identity is developed using the framework of multiplicative tempered Riemann-Liouville fractional integrals. By utilizing the identity several Newton-type inequalities are established for twice *differentiable multiplicatively ...
Muhammad Samraiz +3 more
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Refinement of Midpoint and Trapezoid Type Inequalities for Multiplicatively Convex Functions [PDF]
In 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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On Integral Inequalities for Product and Quotient of Two Multiplicatively Convex Functions
In this paper, we derived integral inequalities of Hermite-Hadamard type in the setting of multiplicative calculus for multiplicatively convex and convex functions. We also derived integral inequalities of Hermite-Hadamard type for product and quotient of multiplicatively convex and convex functions in multiplicative calculus.
Ruqia Arif +4 more
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Multiplicatively Trigonometric Convex Functions for Hermite–Hadamard-Type Inequalities
A novel category of convex functions, termed multiplicatively trigonometric convex functions, are introduced in this paper. We explore their algebraic characteristics and establish connections between such functions and other forms of convex functions. We even show that these functions are symmetric with respect to their components.
Serap Özcan +3 more
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An investigation into multiplicative fractional Weddle’s inequalities
This article presents a new way to think about multiplicative Weddle inequalities, which is based on multiplicative Riemann-Liouville fractional integrals.
Bouharket Benaissa +2 more
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Hermite–Hadamard-type inequalities for multiplicative harmonic $s$-convex functions
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 +2 more
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Injectiveness and Discontinuity of Multiplicative Convex Functions [PDF]
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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Butt, Saad Ihsan +4 more
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