Some new integral inequalities of the Simpson type for MT-convex functions

Open Access

Original research article

Author(s):

Siqintuya Jin^a, Aying Wan^b, Bai-Ni Guo^c,d

^a College of Mathematics and Physics, Inner Mongolia Minzu University, Tongliao 028043, Inner Mongolia, China.
^b College of Mathematics and Statistics, Hulunbuir University, Hailar 021008, Inner Mongolia, China.
^c Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, Henan, China.
^d Corresponding author.

Advances in the Theory of Nonlinear Analysis and its Applications 6(2), 168-172.

Received: October 3, 2021

Accepted: January 8, 2022

Published: January 14, 2022

Abstract

In the paper, with the aid of a known integral identity, the authors establish some new inequalities, similar to the celebrated Simpson’s integral inequality, for differentiable MT-convex functions.

Keywords: integral inequality, MT-convex function, integral identity, Simpson’s integral inequality.

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APA Style

Jin, S., Aying, W., & Guo, B. N. (2022). Some new integral inequalities of the Simpson type for MT-convex functions. Advances in the Theory of Nonlinear Analysis and its Application, 6(2), 168-172.