@article{Tharwat2024, 
author = {Marwa M. Tharwat and Marwa M. Ahmed and Ammara Nosheen and Khuram Ali Khan and Iram Shahzadi and Dumitru Baleanu and Ahmed A. El-Deeb},
title = {Dynamic inequalities of Grüss, Ostrowski and Trapezoid type via diamond-   α integrals and Montgomery identity},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {5},
pages = {12778-12799},
keywords = {Grüss-type inequality, diamond-α integral, Ostrowski inequality, trapezoid inequality, Montgomery identity},
url = {https://www.sciopen.com/article/10.3934/math.2024624},
doi = {10.3934/math.2024624},
abstract = {In this article, the Montgomery identity and Ostrowski inequality are established for univariate first-order diamond-alpha differentiable functions. We also investigate the generalization of Ostrowski-type inequalities for bivariate functions with bounded second-order diamond-alpha derivatives by applying integration by parts for        ♢    α  -integrals. Moreover, some extensions of dynamic trapezoid- and Grüss-type inequalities are also obtained by using the Montgomery identity.}
}