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Statistical deferred weighted B $\mathcal{B}$-summability and its applications to associated approximation theorems [PDF]
Journal of Inequalities and Applications, 2018 The notion of statistical weighted B $\mathcal{B}$-summability was introduced very recently (Kadak et al. in Appl. Math. Comput. 302:80–96, 2017).
T. Pradhan +3 more
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Tauberian theorems for weighted means of double sequences in intuitionistic fuzzy normed spaces [PDF]
Yugoslav Journal of Operations Research, 2022 We define weighted mean summability method of double sequences in intuitionistic fuzzy normed spaces(IFNS), and obtain necessary and sufficient Tauberian conditions under which convergence of double sequences in IFNS follows from their weighted mean ...
Narayan Mishra Lakshmi +3 more
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On the approximation of integrable functions by some special matrix means of Fourier series
Demonstratio Mathematica, 2017 The results concerninig pointwise approximation and product of summability methods corresponding to the theorems of Xh. Z. Krasniqi [Poincare J. Anal. Appl., 2014, 1, 1-8] and W. Łenski and B. Szal [Math. Slovaca, 2016, 66(6), 1-12] are generalized. Some
Kranz Radosława, Rzepka Aleksandra
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Approximation of Analytic Functions by Universal Vallee-Poussin Sums on the Chebyshev Polynomials
Известия Иркутского государственного университета: Серия "Математика", 2018 As it is known, Chebyshev polynomials provide the best uniform approach of a function. They are a special case of Faber polynomials. A. I. Shvay (1973) proved that the Vallee-Poussin sums are the best approach apparatus in comparison with the partial ...
L.K. Dodunova, A.A. Ageikin
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Journal of Function Spaces, 2015 The results generalizing some theorems on N, pnE, γ summability are shown. The same degrees of pointwise approximation as in earlier papers by weaker assumptions on considered functions and examined summability methods are obtained.
W. Łenski, B. Szal
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Embeddings of a Multi-Weighted Anisotropic Sobolev Type Space
Қарағанды университетінің хабаршысы. Математика сериясыParameters such as various integral and differential characteristics of functions, smoothness properties of regions and their boundaries, as well as many classes of weight functions cause complex relationships and embedding conditions for multi-weighted
G.Sh. Iskakova +2 more
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Some of the next articles are maybe not open access.
2000
Abstract After having become acquainted in Chapter 2 with several inclusion, comparison and consistency results it is time to put some life into the theory by considering (classes of) examples of summability methods. In this way we shall have the opportunity to apply theorems, proved in Chapter 2, to special matrix methods. In particular,
Johann Boos, Peter Cass
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Abstract After having become acquainted in Chapter 2 with several inclusion, comparison and consistency results it is time to put some life into the theory by considering (classes of) examples of summability methods. In this way we shall have the opportunity to apply theorems, proved in Chapter 2, to special matrix methods. In particular,
Johann Boos, Peter Cass
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The summability of a special series by the (C, ?) method
Mathematical Notes of the Academy of Sciences of the USSR, 1976In the paper we study the problem of the summability by the (C,α) method of the special series $$f(x) \sim \sum\nolimits_{n = - \infty }^{n = + \infty } {c_n (x)\exp (in^\mu } (x)),$$ (*) where $$\begin{gathered} c_n (x) = \frac{2}{\pi }\mathop \smallint \nolimits_G f(t)\exp ( - in^\mu (t))\frac{{\sin {\raise0.5ex\hbox{$\scriptstyle 1 ...
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Atmospheric and Oceanic Optics, 2011
The moment constant summability method with specialized weight for the summation of divergent series of the perturbation theory is considered in this work. The method is applied to the calculation of vibrational-rotational energy levels of a two-atom hydrogen molecule. It was tested earlier only on model problems.
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The moment constant summability method with specialized weight for the summation of divergent series of the perturbation theory is considered in this work. The method is applied to the calculation of vibrational-rotational energy levels of a two-atom hydrogen molecule. It was tested earlier only on model problems.
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2017
In the current chapter, we introduce some special methods of summability, viz. the Abel method, the Weighted Mean method, the Euler method and the \((M, \lambda _n)\) or Natarajan method, and study their properties extensively. The connection between the Abel method and the Natarajan method is brought out.
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In the current chapter, we introduce some special methods of summability, viz. the Abel method, the Weighted Mean method, the Euler method and the \((M, \lambda _n)\) or Natarajan method, and study their properties extensively. The connection between the Abel method and the Natarajan method is brought out.
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