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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Applications are made to quadrature formulae, probability theory, special means and the estimation of the beta function.
📌 3 Key Takeaways
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Objective & Hypothesis:We establish a generalization of a recent trapezoid inequality for functions of bounded variation.
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Key Findings & Data:A number of special cases are considered.
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Conclusion & Impact:Applications are made to quadrature formulae, probability theory, special means and the estimation of the beta function.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Trapezoid inequality · bounded variation · numerical integration
Abstract
We establish a generalization of a recent trapezoid inequality for functions of bounded variation. A number of special cases are considered. Applications are made to quadrature formulae, probability theory, special means and the estimation of the beta function.
Özet
We establish a generalization of a recent trapezoid inequality for functions of bounded variation. A number of special cases are considered. Applications are made to quadrature formulae, probability theory, special means and the estimation of the beta function.
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Cite This Article
DRAGOMIR, S., PEARCE, C., CERONE, P. (2022). A Generalized Trapezoid Inequality for Functions of Bounded Variation. Turkish Journal of Mathematics, Cilt: 24 - Sayı: 2, 147–163. https://ajindex.com/articles/608930