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• W3190349230 abstract "Abstract In this paper we investigate certain integral operator involving Jacobi–Dunkl functions in a class of generalized functions. We utilize convolution products, approximating identities, and several axioms to allocate the desired spaces of generalized functions. The existing theory of the Jacobi–Dunkl integral operator (Ben Salem and Ahmed Salem in Ramanujan J. 12(3):359–378, 2006) is extended and applied to a new addressed set of Boehmians. Various embeddings and characteristics of the extended Jacobi–Dunkl operator are discussed. An inversion formula and certain convergence with respect to δ and Δ convergences are also introduced." @default.
• W3190349230 created "2021-08-16" @default.
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• W3190349230 date "2021-07-31" @default.
• W3190349230 modified "2023-10-01" @default.
• W3190349230 title "A new aspect of generalized integral operator and an estimation in a generalized function theory" @default.
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• W3190349230 doi "https://doi.org/10.1186/s13662-021-03512-8" @default.
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