Integral Inequalities for functions whose 3rd derivatives belong to Q(I)
M.E. Ozdemir, M. Avci Ardic, M. Gurbuz
TL;DR
This paper develops new Hermite-Hadamard and Simpson type inequalities for functions with third derivatives in the Godunova-Levin class, expanding the scope of integral inequalities in mathematical analysis.
Contribution
It introduces novel inequalities of Hermite-Hadamard and Simpson type specifically for functions with third derivatives in the Godunova-Levin class, a new class of functions.
Findings
Derived new Hermite-Hadamard inequalities
Established Simpson type inequalities for the class
Extended integral inequality theory to functions with third derivatives in Q(I)
Abstract
In this paper, we obtain some new inequalities of Hermite-Hadamard type and Simpson type for functions whose third derivatives belong to Godunova-Levin class.
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Taxonomy
TopicsMathematical Inequalities and Applications · Approximation Theory and Sequence Spaces · Mathematical functions and polynomials