DOAJ Open Access 2021

Fractional Integral Inequalities for Some Convex Functions

B.R. Bayraktar A.Kh. Attaev

Abstrak

In this paper, we obtained several new integral inequalities using fractional Riemann-Liouville integrals for convex s-Godunova-Levin functions in the second sense and for quasi-convex functions. The results were gained by applying the double Hermite-Hadamard inequality, the classical Holder inequalities, the power mean, and weighted Holder inequalities. In particular, the application of the results for several special computing facilities is given. Some applications to special means for arbitrary real numbers: arithmetic mean, logarithmic mean, and generalized log-mean, are provided.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

B.R. Bayraktar

A.Kh. Attaev

Format Sitasi

APA MLA BibTeX

Bayraktar, B., Attaev, A. (2021). Fractional Integral Inequalities for Some Convex Functions. https://doi.org/10.31489/2021M4/14-27

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Informasi Jurnal

Tahun Terbit: 2021
Sumber Database: DOAJ
DOI: 10.31489/2021M4/14-27
Akses: Open Access ✓