Special Session 86: Advances in Differential, Difference and Dynamic Equations with Applications in Science and Engineering

Inverse Forms of Pachpatte-Type Dynamic Inequalities within Diamond-Alpha Calculus
Billur Kaymakcalan
University of Turkish Aeronautical Association
Turkey
Co-Author(s):    Zeynep Kayar
Abstract:
Through the application of concavity, we derive novel reversed diamond alpha Pachpatte type dynamic inequalities. These formulations not only encompass the nabla and delta analogues but also merge both the discrete and continuous frameworks as particular instances. Moreover, in the absence of concavity, they naturally give rise to generalized versions of the diamond alpha Bennett Leindler type dynamic inequalities.