Unified integral inequalities comprising pathway operators

A. M. Mishra; D. Kumar; S. D. Purohit; A. M. Mishra; D. Kumar; S. D. Purohit

doi:10.3934/math.2020027

AIMS Mathematics

2020, Volume 5, Issue 1: 399-407. doi: 10.3934/math.2020027

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Unified integral inequalities comprising pathway operators

1.
Department of HEAS (Mathematics), Rajasthan Technical University, Kota 324010, India
2.
Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India

Received: 06 September 2019 Accepted: 11 November 2019 Published: 26 November 2019
MSC : Primary: 35A23; Secondary: 26A33, 33C05

In this article, we established generalized version of unified integral inequalities, comprising pathway fractional operators related to bounded functions whose bounds are also bounded functions. We reduce these results in some useful particular forms and also some well-known inequalities of the literature.
- integral inequalities,
- pathway operator,
- fractional calculus,
- generalized fractional integral operators
Citation: A. M. Mishra, D. Kumar, S. D. Purohit. Unified integral inequalities comprising pathway operators[J]. AIMS Mathematics, 2020, 5(1): 399-407. doi: 10.3934/math.2020027

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Abstract

In this article, we established generalized version of unified integral inequalities, comprising pathway fractional operators related to bounded functions whose bounds are also bounded functions. We reduce these results in some useful particular forms and also some well-known inequalities of the literature.

References

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