Simpson Type Inequalities for Q-Class Functions
M. Emin Ozdemir, Alper Ekinci, Mustafa Gurbuz, Ahmet Ocak Akdemir
TL;DR
This paper establishes Simpson type inequalities for functions with second derivatives or their q-th powers belonging to Q-class functions, and applies these results to improve numerical integration techniques.
Contribution
It introduces new Simpson inequalities for Q-class functions and explores their applications in numerical integration methods.
Findings
Derived Simpson inequalities for Q-class functions
Provided bounds for numerical integration errors
Extended inequalities to functions with specific derivative properties
Abstract
In this paper, we obtain some Simpson type inequalities for functions whose second derivatives absolute value or q-th power of them are Q-class functions. Also we give applications to numerical integration.
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Taxonomy
TopicsMathematical Inequalities and Applications · Mathematical functions and polynomials · Functional Equations Stability Results