Approximation of Integrable Functions by Wavelet Expansions
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DOI: 10.1007/s00025-016-0614-z
Abstract: Walter (J Approx Theory 80:108–118, 1995), Xiehua (Approx Theory Appl 14(1):81–90, 1998) and Lal and Kumar (Lobachevskii J Math 34(2):163–172, 2013) established results on pointwise and uniform convergence of wavelet expansions. Working in this direction… read more here.
Keywords: approximation integrable; wavelet expansions; functions wavelet; integrable functions ... See more keywords
Pointwise $$\left( H,\Phi \right) $$H,Φ Strong Approximation by Fourier Series of $$L^{1}$$L1 Integrable Functions
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DOI: 10.1007/s00025-018-0892-8
Abstract: We will present an estimation of the generalized strong mean $$\left( H,\Phi \right) $$H,Φ as an approximation version of the Totik type generalization of the results of J. Marcinkiewicz and A. Zygmund on strong summability… read more here.
Keywords: series integrable; approximation; left phi; phi right ... See more keywords
Integrable functions of fuzzy cone and ξ - fuzzy cone and their application in the fixed point theorem
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DOI: 10.1080/09720502.2021.1881220
Abstract: Abstract The purpose of this study is to present the idea of an f-partition for a closed interval. Additionally, we introduce a new notion for fuzzy cone metric spaces called a fuzzy cone integrable function… read more here.
Keywords: point theorem; fixed point; fuzzy cone; cone ... See more keywords
The double Fourier transform of non-Lebesgue integrable functions of bounded Hardy–Krause variation
Sign Up to like & getrecommendations! Published in 2023 at "Georgian Mathematical Journal"
DOI: 10.1515/gmj-2023-2008
Abstract: Abstract In the classical Fourier analysis, the representation of the double Fourier transform as the integral of f ( x , y ) exp ( − i ⟨ ( x , y ) , (… read more here.
Keywords: lebesgue integrable; integrable functions; transform; non lebesgue ... See more keywords