On summability of a factored Fourier series
P. L. Sharma, R. K. Jain (1970)
Matematički Vesnik
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P. L. Sharma, R. K. Jain (1970)
Matematički Vesnik
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WŁodzimierz Łenski, Bogdan Szal (2011)
Banach Center Publications
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We show the results corresponding to some theorems of S. Lal and H. K. Nigam [Int. J. Math. Math. Sci. 27 (2001), 555-563] on the norm and pointwise approximation of conjugate functions and to the results of the authors [Acta Comment. Univ. Tartu. Math. 13 (2009), 11-24] also on such approximations.
Włodzimierz Łenski, Bogdan Roszak (2011)
Banach Center Publications
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We present an estimation of the and means as approximation versions of the Totik type generalization (see [5], [6]) of the result of G. H. Hardy, J. E. Littlewood. Some corollaries on the norm approximation are also given.
Leetsch C. Hsu (1959)
Czechoslovak Mathematical Journal
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R. K. Jain, A. Ganguly (1978)
Matematički Vesnik
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Włodzimierz Łenski, Bogdan Szal (2011)
Banach Center Publications
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We show the general and precise conditions on the functions and modulus of continuity as well as on the entries of matrices generating the summability means and give the rates of approximation of functions from the generalized integral Lipschitz classes by double matrix means of their Fourier series. Consequently, we give some results on norm approximation. Thus we essentially extend and improve our earlier results [Acta Comment. Univ. Tartu. Math. 13 (2009), 11-24] and the result of...
P. Chandra (1988)
Matematički Vesnik
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L. Jeśmanowicz (1962)
Annales Polonici Mathematici
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B. Martić (1964)
Matematički Vesnik
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István Blahota, Lars-Erik Persson, Giorgi Tephnadze (2015)
Czechoslovak Mathematical Journal
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We prove and discuss some new -type inequalities of weighted maximal operators of Vilenkin-Nörlund means with non-increasing coefficients . These results are the best possible in a special sense. As applications, some well-known as well as new results are pointed out in the theory of strong convergence of such Vilenkin-Nörlund means. To fulfil our main aims we also prove some new estimates of independent interest for the kernels of these summability results. In the special cases of...
Sergiusz Kęska (2016)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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The purpose of this paper is to analyze the degree of approximation of a function that is a conjugate of a function belonging to the Lipschitz class by Hausdorff means of a conjugate series of the Fourier series.
J. A. Nitsche (1975)
Publications mathématiques et informatique de Rennes
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Hichame Amal (2014)
Annales Polonici Mathematici
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Our aim in this article is the study of subextension and approximation of plurisubharmonic functions in , the class of functions with finite χ-energy and given boundary values. We show that, under certain conditions, one can approximate any function in by an increasing sequence of plurisubharmonic functions defined on strictly larger domains.
P. L. Sharma, V. Prakash, S. K. Varma (1985)
Matematički Vesnik
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J. Korevaar (1986)
Matematički Vesnik
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