Results 21 to 30 of about 251 (126)

On Newton–Cotes Formula-Type Inequalities for Multiplicative Generalized Convex Functions via Riemann–Liouville Fractional Integrals with Applications to Quadrature Formulas and Computational Analysis

Fractal and Fractional
In this article, we develop multiplicative fractional versions of Simpson’s and Newton’s formula-type inequalities for differentiable generalized convex functions with the help of established identities.
Abdul Mateen, Serap Özcan, Zhiyue Zhang, Bandar Bin-Mohsin   +3 more
doaj   +1 more source

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

Journal 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, Muhammad Abu Bakar Ashraf, Saima Naheed, Miguel Vivas-Cortez   +3 more
doaj   +1 more source

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 multiplicatively s-convex functions.
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Around Furstenberg's times $p$, times $q$ conjecture: times $p$-invariant measures with some large Fourier coefficients

Discrete Analysis
Around Furstenberg's times $p$, times $q$ conjecture: times $p$-invariant measures with some large Fourier coefficients, Discrete Analysis 2024:10, 31 pp. In the 1960s, Furstenberg proved several results on the following theme.
Catalin Badea, Sophie Grivaux
doaj   +1 more source

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

Ukrains’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, Uruş, Ayça, Butt, Saad Ihsan   +2 more
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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 ...
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A generalization of multiple Wright-convex functions via randomization

Journal of Mathematical Analysis and Applications, 2012
The author considers a general class of nonnegative real functions, which are generalizations of \(n\)-Wright-convex functions introduced by \textit{A. Gilányi} and \textit{Zs. Páles} [Math. Inequal. Appl. 11, No. 2, 271--282 (2008; Zbl 1141.26304)], and studied also by \textit{Gy. Maksa} and \textit{Zs. Páles} [J. Math. Anal. Appl. 359, No.
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Refinement of midpoint and trapezoid type inequalities for multiplicatively convex functions

Sahand Communications in Mathematical Analysis
Summary: 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. The acquired outcomes improve and refine upon \textit{S. Khan} and \textit{H. Budak}'s findings [Mathematica 64(87), No. 1, 95--108 (2022; Zbl 1549.26070)].
Berhail, Amel, Meftah, Badreddine
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Multiplicatively Trigonometric Convex Functions for Hermite–Hadamard-Type Inequalities

Symmetry
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, Sina Etemad, Sotiris K. Ntouyas, Jessada Tariboon   +3 more
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On Integral Inequalities for Product and Quotient of Two Multiplicatively Convex Functions

Asian 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, Ifra Bashir Sial, Zhiyue Zhang, Mujahid Abbas, Muhammad Aamir Ali   +4 more
openaire   +2 more sources