Multiplicative tempered fractional Newton-type inequalities for twice *differentiable multiplicatively inverse cosine convex functions with 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 inverse cosine convex functions. The appeal of generalized convex functions stems from their applicability to a broader function class than ordinary convex functions. This helps in finding the best possible lower and upper bounds more effectively. In addition, we establish some more refined results via Hölder and power-mean inequalities. The obtained results are verified through graphs. Finally, some applications are given in the context of quadrature formulae.

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Publication Details

Journal
Journal of Inequalities and Applications
Published
2025-12-19
DOI
https://doi.org/10.1186/s13660-025-03399-z
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

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

Muhammad Samraiz, Miguel Vivas–Cortez, Saima Naheed, Muhammad Ashraf
Journal of Inequalities and Applications
Mathematical Inequalities and Applications
article

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

Muhammad Samraiz, Miguel Vivas–Cortez, Saima Naheed, Muhammad Ashraf
article en

Abstract

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 inverse cosine convex functions. The appeal of generalized convex functions stems from their applicability to a broader function class than ordinary convex functions. This helps in finding the best possible lower and upper bounds more effectively. In addition, we establish some more refined results via Hölder and power-mean inequalities. The obtained results are verified through graphs. Finally, some applications are given in the context of quadrature formulae.

Journal of Inequalities and ApplicationsVol. 2025(1)
University of Sargodha (PK), Pontificia Universidad Católica del Ecuador (EC)
Openalex Percentile: Top 46%
Mathematical Inequalities and Applications
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