@article{Butt2024, 
author = {Saad Ihsan Butt and Muhammad Nasim Aftab and Hossam A. Nabwey and Sina Etemad},
title = {Some Hermite-Hadamard and midpoint type inequalities in symmetric quantum calculus},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {3},
pages = {5523-5549},
keywords = {Hermite-Hadamard inequality, convex functions, symmetric quantum calculus},
url = {https://www.sciopen.com/article/10.3934/math.2024268},
doi = {10.3934/math.2024268},
abstract = {The Hermite-Hadamard inequalities are common research topics explored in different dimensions. For any interval    [            b              0              ,            b              1              ]  ⊂  ℜ, we construct the idea of the Hermite-Hadamard inequality, its different kinds, and its generalization in symmetric quantum calculus at              b              0              ∈  [            b              0              ,            b              1              ]  ⊂  ℜ. We also construct parallel results for the Hermite-Hadamard inequality, its different types, and its generalization on other end point              b              1            , and provide some examples as well. Some justification with graphical analysis is provided as well. Finally, with the assistance of these outcomes, we give a midpoint type inequality and some of its approximations for convex functions in symmetric quantum calculus.}
}