Results 11 to 20 of about 133,201 (197)

Companion of Ostrowski Inequality for Multiplicatively Convex Functions [PDF]

open access: yesSahand Communications in Mathematical Analysis
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
doaj   +4 more sources

A class of symmetric functions for multiplicatively convex function [PDF]

open access: yesMathematical Inequalities & Applications, 2007
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
openaire   +2 more sources

Multiplicative tempered fractional Newton-type inequalities for twice *differentiable multiplicatively inverse cosine convex functions with applications

open access: yesJournal of Inequalities and Applications
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
doaj   +2 more sources

Refinement of Midpoint and Trapezoid Type Inequalities for Multiplicatively Convex Functions [PDF]

open access: yesSahand Communications in Mathematical Analysis
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
doaj   +2 more sources

On Integral Inequalities for Product and Quotient of Two Multiplicatively Convex Functions

open access: yesAsian Research Journal of Mathematics, 2019
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
openaire   +3 more sources

Multiplicatively Trigonometric Convex Functions for Hermite–Hadamard-Type Inequalities

open access: yesSymmetry
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
openaire   +2 more sources

An investigation into multiplicative fractional Weddle’s inequalities

open access: yesBoundary Value Problems
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
doaj   +2 more sources

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

open access: yesUkrains’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   +2 more
openaire   +3 more sources

Injectiveness and Discontinuity of Multiplicative Convex Functions [PDF]

open access: yesMathematics, 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
openaire   +3 more sources

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

open access: yesBoundary Value Problems
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Butt, Saad Ihsan   +4 more
openaire   +2 more sources

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