Estimates and properties of certain q -Mellin transform on generalized q -calculus theory

Advances in Difference Equations

article

Al-Omari, Shrideh¹ 

[1] Faculty of Engineering Technology, Al-Balqa Applied University

关键词: q -delta sequences;    q -Mellin;    q -convolution;    q -calculus;    q -Boehmian;   

DOI  :  10.1186/s13662-021-03391-z

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

This paper deals with the generalized q-theory of the q-Mellin transform and its certain properties in a set of q-generalized functions. Some related q-equivalence relations, q-quotients of sequences, q-convergence definitions, and q-delta sequences are represented. Along with that, a new q-convolution theorem of the estimated operator is obtained on the generalized context of q-Boehmians. On top of that, several results and q-Mellin spaces of q-Boehmians are discussed. Furthermore, certain continuous q-embeddings and an inversion formula are also discussed.

【 授权许可】

CC BY