Tur\'an Type Inequalities for The $q$-exponential functions
Khaled Mehrez
TL;DR
This paper establishes sharp Turán type inequalities for the remainder of q-exponential functions, generalizing previous results and providing new bounds in the context of q-calculus.
Contribution
It introduces generalized Turán inequalities for q-exponential functions, extending earlier work by Alzer and contributing to the theory of q-special functions.
Findings
Derived sharp Turán inequalities for q-exponential remainders
Generalized previous inequalities by Alzer
Provided bounds applicable in q-calculus contexts
Abstract
In this paper our aim is to deduce some sharp Tur\'an type inequalities for the remainder exponential functions. Our results are shown to be a generalization of results which were obtained by Alzer \cite{al}.
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Taxonomy
TopicsMathematical Inequalities and Applications · Analytic and geometric function theory · Mathematical functions and polynomials