Zobrazeno 1 - 10 of 12 pro vyhledávání: '"Vanda Fülöp"'
1
Akademický článek
On the order of magnitude of Walsh-Fourier transform
Autor: Bhikha Lila Ghodadra, Vanda Fülöp
Publikováno v: Mathematica Bohemica, Vol 145, Iss 3, Pp 265-280 (2020)
For a Lebesgue integrable complex-valued function $f$ defined on $\mathbb R^+:=[0,\infty)$ let $\hat f$ be its Walsh-Fourier transform. The Riemann-Lebesgue lemma says that $\hat f(y)\to0$ as $y\to\infty$. But in general, there is no definite rate at
Externí odkaz: https://doaj.org/article/268d5ca4ae4a4e5da4a2ccd819730060
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2
A Note on the Definition of Bounded Variation of Higher Order for Double Sequences
Autor: Bhikha Lila Ghodadra, Vanda Fülöp
Publikováno v: Kragujevac Journal of Mathematics. 44:563-570
In this study the definition of bounded variation of order p (p ∈ ℕ) for double sequences is considered. Some inclusion relations are proved and counter examples are provided for ensuring proper inclusions.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a183ecb96c44425fba6b28ad92f5526a
https://doi.org/10.46793/kgjmat2004.563g
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3
A note on cosine series with coefficients of generalized bounded variation
Autor: Vanda Fülöp, Bhikha Lila Ghodadra
Publikováno v: Mathematica Slovaca. 70:681-688
In this note, we obtain a Tauberian theorem for a class of regular lower triangular matrices operating on cosine series with coefficients tending to zero. As corollaries we obtain Tauberian theorems for weighted mean, Nörlund, and Hausdorff matrices
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e8be6178ce8cda9e3f5bb2942076c597
https://doi.org/10.1515/ms-2017-0381
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4
On the order of magnitude of Walsh-Fourier transform
Autor: Vanda Fülöp, Bhikha Lila Ghodadra
Publikováno v: Mathematica Bohemica, Vol 145, Iss 3, Pp 265-280 (2020)
For a Lebesgue integrable complex-valued function $f$ defined on $\mathbb R^+:=[0,\infty )$ let $\hat f$ be its Walsh-Fourier transform. The Riemann-Lebesgue lemma says that $\hat f(y)\to 0$ as $y\to \infty $. But in general, there is no definite rat
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da5ba17467d351fce914fe542e2a7478
https://doi.org/10.21136/mb.2019.0075-18
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6
On the convergence of double Fourier integrals of functions of bounded variation on ℝ2
Autor: Bhikha Lila Ghodadra, Vanda Fülöp
Publikováno v: Studia Scientiarum Mathematicarum Hungarica. 53:289-313
We investigate the pointwise and uniform convergence of the symmetric rectangular partial (also called Dirichlet) integrals of the double Fourier integral of a function that is Lebesgue integrable and of bounded variation over ℝ2. Our theorem is a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3139d6798d3afdc339cc8a6b515eaad7
https://doi.org/10.1556/012.2016.53.3.1336
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8
On double sine and cosine transforms, Lipschitz and Zygmund classes
Autor: Ferenc Móricaz, Vanda Fülöp
Publikováno v: Analysis in Theory and Applications. 27:351-364
We consider complex-valued functions f ∈ L1(R+2), where R+:= [0,∞), and prove sufficient conditions under which the double sine Fourier transform \(\hat f_{ss} \) and the double cosine Fourier transform \(\hat f_{cc} \) belong to one of the two-d
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::45c2ed360fab56ac52c3f9552d4e5e43
https://doi.org/10.1007/s10496-011-0351-9
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9
Sine, cosine transforms and classical function classes
Autor: Vanda Fülöp
Publikováno v: Analysis Mathematica. 35:199-212
We study the continuity and smoothness properties of functions f ∈ L1([0, ∞)) whose sine transforms \( \hat f_s \) and cosine tranforms \( \hat f_c \) belong to L1([0,∞)). We give best possible sufficient conditions in terms of \( \hat f_s \) a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a57850d796a62697ac4b1f84b1b6f773
https://doi.org/10.1007/s10476-009-0303-1
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