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International Journal of Mathematics and Mathematical Sciences
Article . 2012 . Peer-reviewed
License: CC BY
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Article . 2012
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https://dx.doi.org/10.60692/t8...
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https://dx.doi.org/10.60692/34...
Other literature type . 2012
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Article . 2012
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Henstock-Kurzweil Integral Transforms

هينستوك- كورزويل للتحولات المتكاملة
Authors: Salvador Sánchez-Perales; Francisco Javier Mendoza Torres; Juan Alberto Escamilla Reyna;

Henstock-Kurzweil Integral Transforms

Abstract

We show conditions for the existence, continuity, and differentiability of functions defined by , where is a function of bounded variation on with .

Keywords

Uniform boundedness, Bounded deformation, Integral transforms of special functions, Evolutionary biology, Astrophysics, Mathematical analysis, Orthogonal Polynomials, Bounded function, Differentiable function, QA1-939, FOS: Mathematics, Biology, Mathematical Physics, Applied Mathematics, Physics, existence, Pure mathematics, function of bounded variation, continuity, Quaternionic Analysis and Applications, Bounded variation, Henstock-Kurzweil integral transforms, Function (biology), Physical Sciences, Variation (astronomy), Special integral transforms (Legendre, Hilbert, etc.), p-adic Models in Mathematical Physics, Functional Calculus, Mathematics, differentiability

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    popularity
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
gold