Estimation-type results with respect to the parameterized (<em>p</em>, <em>q</em>)-integral inequalities

Chunyan Luo; Tingsong Du; Muhammad Uzair Awan; Yao Zhang; Chunyan Luo; Tingsong Du; Muhammad Uzair Awan; Yao Zhang

doi:10.3934/math.2020038

AIMS Mathematics

2020, Volume 5, Issue 1: 568-586. doi: 10.3934/math.2020038

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Research article

Estimation-type results with respect to the parameterized (p, q)-integral inequalities

1.
Department of Mathematics, College of Science, China Three Gorges University, 443002 Yichang, China
2.
Three Gorges Mathematical Research Center, China Three Gorges University, 443002 Yichang, China
3.
Department of Mathematics, Government College University, Faisalabad, Pakistan

Received: 30 September 2019 Accepted: 06 December 2019 Published: 12 December 2019
MSC : 05A30, 34A08, 26A33, 26D15

We establish a (p, q)-integral identity with parameters and certain new (p, q)-integral inequalities of different types through (p, q)-differentiable mappings. Many results obtained in this article provide significant extensions of other related results given in the literature. Furthermore, we construct three examples to illustrate the investigated results.
- (p, q)-integral inequalities,
- (p, q)-derivative,
- convexity
Citation: Chunyan Luo, Tingsong Du, Muhammad Uzair Awan, Yao Zhang. Estimation-type results with respect to the parameterized (p, q)-integral inequalities[J]. AIMS Mathematics, 2020, 5(1): 568-586. doi: 10.3934/math.2020038

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Abstract

We establish a (p, q)-integral identity with parameters and certain new (p, q)-integral inequalities of different types through (p, q)-differentiable mappings. Many results obtained in this article provide significant extensions of other related results given in the literature. Furthermore, we construct three examples to illustrate the investigated results.

References

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