Ahmad Ayyaz, Anwar Matloob
School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan.
Heliyon. 2024 Jul 25;10(15):e35057. doi: 10.1016/j.heliyon.2024.e35057. eCollection 2024 Aug 15.
Various differential and integral operators have been introduced and applied for the generalization of several integral inequalities. The purpose of this article is to create a more generalized fractional integral operator of Saigo type. This operator will be used alongwith the existing Saigo type and Q-Saigo type fractional integral operators to establish extended and generalized versions of several inequalities, including Pólya-Szegő and Chebyshev type inequalities.
为了推广几个积分不等式,人们引入并应用了各种微分和积分算子。本文的目的是创建一种更广义的斋藤型分数积分算子。该算子将与现有的斋藤型和Q - 斋藤型分数积分算子一起使用,以建立几个不等式的扩展和广义版本,包括波利亚 - 塞格奥型和切比雪夫型不等式。