Results 1 to 10 of about 373 (214)

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
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Some Simpson- and Ostrowski-Type Integral Inequalities for Generalized Convex Functions in Multiplicative Calculus with Their Computational Analysis

Mathematics
Integral inequalities are very useful in finding the error bounds for numerical integration formulas. In this paper, we prove some multiplicative integral inequalities for first-time differentiable s-convex functions.
Xinlin Zhan, Abdul Mateen, Muhammad Toseef, Muhammad Aamir Ali   +3 more
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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
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Log m-Convex Functions

Moroccan Journal of Pure and Applied Analysis, 2019
In this research we lay the concept of log m-convex functions defined on real intervals containing the origin, some algebraic properties are exhibit, in the same token discrete Jensen type inequalities and integral inequalities are set and shown.
Lara Teodoro, Rosales Edgar
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On a New Generalized Convexity and Its Related Midpoint-, Trapezoid-, and Simpson-Type Inequalities via Multiplicative Calculus

Axioms
In this paper, we introduce and investigate a refined generalization of convexity, termed the multiplicatively strongly s-convex function, and establish several of its fundamental algebraic properties.
Mohammad Akram, Inna Kalchuk, Muhammad Tariq, Waqar Afzal   +3 more
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An investigation into multiplicative fractional Weddle’s inequalities

Boundary 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, Noureddine Azzouz, Hüseyin Budak   +2 more
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Multiplicative Fractional Milne-Mercer-Type Inequalities via Multiplicative Atangana-Baleanu-Conformable Integral Operators

Mathematics
This paper introduces a multiplicative Atangana–Baleanu–conformable fractional integral operator in the setting of multiplicative calculus. The proposed operator is formulated by applying the Atangana–Baleanu–conformable fractional integral structure to ...
Jen-Chieh Lo
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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
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Fractional integral inequalities for strongly convex functions via multiplicative calculus with applications

Boundary Value Problems
In this paper, we introduce the concept of strongly multiplicative convex functions and establish Hermite–Hadamard (HH)-type integral inequalities using the Atangana–Baleanu (AB) fractional integral operator within the framework of multiplicative ...
Saad Ihsan Butt, Dawood Khan, Valer-Daniel Breaz, Luminita-Ioana Cotîrlǎ, Bandar Bin Mohsin   +4 more
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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
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