Articles with "fractal integral" as a keyword



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The Nonlocal Fractal Integral Reverse Minkowski’s and Other Related Inequalities on Fractal Sets

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Published in 2021 at "Mathematical Problems in Engineering"

DOI: 10.1155/2021/4764891

Abstract: In this paper, we study the generalized Riemann–Liouville fractional integral for the functions with fractal support. The aim of this article is to investigate reverse Minkowski’s inequalities and certain other related inequalities by employing the… read more here.

Keywords: reverse minkowski; nonlocal fractal; fractal integral; related inequalities ... See more keywords
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A Hilbert-type fractal integral inequality and its applications

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Published in 2017 at "Journal of Inequalities and Applications"

DOI: 10.1186/s13660-017-1360-9

Abstract: By using thefractal theory and the methods of weight function, a Hilbert-type fractal integral inequality and its equivalent form are given. Their constant factors are proved being the best possible, and their applications are discussed… read more here.

Keywords: hilbert type; integral inequality; applications hilbert; type fractal ... See more keywords