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New computations for extended weighted functionals within the hilfer generalized proportional fractional integral operators

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成果类型:
期刊论文
作者:
Zhou, Shuang-Shuang;Rashid, Saima;Parveen, Saima;Akdemir, Ahmet Ocak;Hammouch, Zakia
通讯作者:
Rashid, S.
作者机构:
[Zhou, Shuang-Shuang] Hunan City Univ, Sch Sci, Yiyang 413000, Peoples R China.
[Rashid, Saima; Parveen, Saima] Govt Coll Univ, Dept Math, Faisalabad, Pakistan.
[Akdemir, Ahmet Ocak] Ibrahim Cecen Univ Agri, Dept Math, Agri, Turkey.
[Hammouch, Zakia] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam.
通讯机构:
[Rashid, S.] D
Department of Mathematics, Pakistan
语种:
英文
关键词:
integral inequality;Lambda-generalized proportional fractional integral;Cebysev inequality;Polya-Szego inequality
期刊:
AIMS Mathematics
ISSN:
2473-6988
年:
2021
卷:
6
期:
5
页码:
4507-4525
基金类别:
The authors would like to express their sincere thanks to referees for improving the article and also thanks to Natural Science Foundation of China (Grant Nos. 61673169, 11971142, 11871202, 11301127, 11701176, 11626101, and 11601485) for providing financial assistance to support this research.
机构署名:
本校为第一机构
摘要:
In this work, a new strategy to derive inequalities by employing newly proposed fractional operators, known as a Hilfer generalized proportional fractional integral operator (GPF̂IO). The presented work establishes a relationship between weighted extended Čebyšev version and Pólya-Szegö type inequalities, which can be directly used in fractional differential equations and statistical theory. In addition, the proposed technique is also compared with the existing results. This work is important and timely for evaluating fractional operators ...

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