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New Simpson Type Integral Inequalities for s-Convex Functions and Their Applications

Kashuri, Artion ; Mohammed, Pshtiwan Othman ; Abdeljawad, Thabet ; Hamasalh, Faraidun ; Chu, Yuming Ahmad, Imtiaz ; Imtiaz Ahmad

Mathematical problems in engineering, 2020-10, Vol.2020, p.1-12 [Periódico revisado por pares]

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Título:
New Simpson Type Integral Inequalities for s-Convex Functions and Their Applications
Autor: Kashuri, Artion ; Mohammed, Pshtiwan Othman ; Abdeljawad, Thabet ; Hamasalh, Faraidun ; Chu, Yuming
Ahmad, Imtiaz ; Imtiaz Ahmad
Assuntos: Bessel functions ; Convex analysis ; Convex functions ; Inequalities ; Inequalities (Mathematics) ; Inequality ; Integrals ; Mathematical research ; Quadratures ; Real numbers
É parte de: Mathematical problems in engineering, 2020-10, Vol.2020, p.1-12
Descrição: First, we consider a new Simpson’s identity. This identity investigates our main results that consist of some integral inequalities of Simpson’s type for the s–convex functions. From our main results, we obtain some special cases which are discussed in detail. Finally, some applications on the Bessel functions, special means of distinct positive real numbers, and error estimation about Simpson quadrature formula are presented to support our theoretical results.
Editor: New York: Hindawi
Idioma: Inglês

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