期刊论文

Chu, Yu-Ming

英文

AIMS Mathematics

2473-6988

2020

5

5

4662-4680

10.3934/math.2020299

The authors would like to thank the anonymous referees for their valuable comments and suggestions, which led to considerable improvement of the article. The research was supported by the National Natural Science Foundation of China (Grant Nos. 61673169, 11301127, 11701176, 11626101, 11601485, 11971142, 11871202) .

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The main objective of this article is to introduce the notion of 2D approximately reciprocal ρ-convex functions, show that this class of functions unifies several other unrelated classes of reciprocal convex functions, obtain several new refinements of the Hermite-Hadamard type inequalities involving 2D approximately reciprocal ρ-convex functions, provide some bounds pertaining to the trapezium like inequalities by using partial differentiable 2D approximately reciprocal ρ-convex functions, and discuss the sp...