Work

(k, ψ)-Proportional Fractional Integral Pólya–Szegö- and Grüss-Type Inequalities

Year: 2021

Type: article

Abstract: The purpose of this research was to discover a novel method to recover k-fractional integral inequalities of the Pólya–Szegö-type. We employ these generalized inequalities to investigate some new fractional integral inequalities of the Grüss-type. More precisely, we generalize the proportional fractional operators with respect to another strictly increasing continuous function ψ. Then, we state and prove some of its properties and special cases. With the help of this generalized operator, we investigate some Pólya–Szegö- and Grüss-type fractional integral inequalities. The functions used in this work are bounded by two positive functions to obtain Pólya–Szegö- and Grüss-type k-fractional integral inequalities in a new sense. Moreover, we discuss some new special cases of the Pólya–Szegö- and Grüss-type inequalities through this work.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract5040172

Authors: Tariq A. Aljaaidi, Deepak B. Pachpatte, Mohammed S. Abdo, Thongchai Botmart, Hijaz Ahmad, Mohammed A. Almalahi, Saleh S. Redhwan

Institutions: Dr. Babasaheb Ambedkar Marathwada University, Hodeidah University, Khon Kaen University, UniNettuno University, Hajjah University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,728

OpenAlex ID: W3205889583

FWCI: 2.507

Cites: 39

Cited by: 17

Related to: 10