SEVERAL NEW INTEGRAL INEQUALITIES OF THE SIMPSON TYPE FOR $(\alpha, s, m)$-CONVEX FUNCTIONS

Hong-Ping Yin; Xi-Min Liu; Jing-Yu Wang; Feng Qi

doi:10.11948/20230047

2023 Volume 13 Issue 5

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Hong-Ping Yin, Xi-Min Liu, Jing-Yu Wang, Feng Qi. SEVERAL NEW INTEGRAL INEQUALITIES OF THE SIMPSON TYPE FOR $(\alpha, s, m)$-CONVEX FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(5): 2896-2905. doi: 10.11948/20230047

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Hong-Ping Yin, Xi-Min Liu, Jing-Yu Wang, Feng Qi. SEVERAL NEW INTEGRAL INEQUALITIES OF THE SIMPSON TYPE FOR $(\alpha, s, m)$-CONVEX FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(5): 2896-2905. doi: 10.11948/20230047

SEVERAL NEW INTEGRAL INEQUALITIES OF THE SIMPSON TYPE FOR $(\alpha, s, m)$-CONVEX FUNCTIONS

1.
School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, China
2.
College of Mathematical Sciences, Inner Mongolia Minzu University, Tongliao 028043, China
3.
Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, China
4.
School of Mathematics and Physics, Hulunbuir University, Inner Mongolia 021008, China
5.
Independent researcher, Dallas, TX 75252-8024, USA

Dedicated to retired Professor Bo-Yan Xi at Inner Mongolia Minzu University
Author Bio: Emails: hongpingyin@qq.com (H.-P. Yin); Emails: ximinliu@dlut.edu.cn (X.-M. Liu); Emails: wangjingyu4@163.com (J.-Y. Wang)
Corresponding author: Emails: honest.john.china@gmail.com (F. Qi)

Abstract

Abstract

In the paper, the authors present some integral inequalities of the Simpson type for functions whose derivatives are $ (\alpha, s, m) $-convex.
- Simpson type /
- $(\alpha, s, m)$-convex function /
- convex function /
- integral inequality /
- derivative.
MSC: 26A51, 26D15, 41A55

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References

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