Research article

2D approximately reciprocal ρ-convex functions and associated integral inequalities

  • Received: 02 April 2020 Accepted: 18 May 2020 Published: 27 May 2020
  • MSC : 26A51, 26D10, 26D15

  • 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 special cases of the obtained results.

    Citation: Muhammad Uzair Awan, Nousheen Akhtar, Artion Kashuri, Muhammad Aslam Noor, Yu-Ming Chu. 2D approximately reciprocal ρ-convex functions and associated integral inequalities[J]. AIMS Mathematics, 2020, 5(5): 4662-4680. doi: 10.3934/math.2020299

    Related Papers:

  • 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 special cases of the obtained results.


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