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

[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.

[学科分类] 航空航天科学

[关键词] q -delta sequences;q -Mellin;q -convolution;q -calculus;q -Boehmian