ON THE BULLEN-TYPE INEQUALITIES VIA GENERALIZED FRACTIONAL INTEGRALS AND THEIR APPLICATIONS

Tingsong Du, Chunyan Luo () and Zhijie Cao ()
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Tingsong Du: Department of Mathematics, College of Science, China Three Gorges University, Yichang 443002, P. R. China
Chunyan Luo: Department of Mathematics, College of Science, China Three Gorges University, Yichang 443002, P. R. China
Zhijie Cao: Department of Mathematics, College of Science, China Three Gorges University, Yichang 443002, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 07, 1-20

Abstract: By using generalized fractional integrals, some Bullen-type inequalities are derived where the first derivative of considered functions is Lipschitzian, bounded or generalized (s,m)-preinvex. These results are also applied to the estimation of the moments of the random variable, Bullen-type quadrature formula and certain other special means. Meanwhile, three numerical examples provided in terms of the proposed method illustrate that the approach is effortless to implement and computationally attractive.

Keywords: Bullen’s Inequality; Generalized (s; m)-Preinvex Function; Generalized Fractional Integral Operators (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21501887

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