Degree of approximation of conjugate of a function belonging to Lip class by matrix summability means of conjugate Fourier series.

Lal, Shyam; Nigam, Hare Krishna

Displaying similar documents to “Degree of approximation of conjugate of a function belonging to Lip $(ξ (t), p)$ class by matrix summability means of conjugate Fourier series.”

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Sulaiman, W.T. (1999)

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Hüseyın Bor (1991)

Annales Polonici Mathematici

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Four theorems of Ahmad [1] on absolute Nörlund summability factors of power series and Fourier series are proved under weaker conditions.

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Exponential-type Nagumo norms and summability of formal solutions of singular partial differential equations

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In this paper, we study a class of first order nonlinear degenerate partial differential equations with singularity at $(t, x) = (0, 0) \in C^{2}$ . Using exponential-type Nagumo norm approach, the Gevrey asymptotic analysis is extended to case of holomorphic parameters in a natural way. A sharp condition is then established to deduce the $k$ -summability of the formal solutions. Furthermore, analytical solutions in conical domains are found for each type of these nonlinear singular PDEs.

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Goginava, U. (2002)

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Javad Namazi (1993)

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Product Theorems for Certain Summability Methods in Non-archimedean Fields

P.N. Natarajan (2003)

Annales mathématiques Blaise Pascal

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In this paper, $K$ denotes a complete, non-trivially valued, non-archimedean field. Sequences and infinite matrices have entries in $K .$ The main purpose of this paper is to prove some product theorems involving the methods $M$ and $(N, p_{n})$ in such fields $K .$

Polyhedral summability of multiple Fourier series (and explicit formulas for Dirichlet kernels on $^{n}$ and on compact Lie groups)

Giancarlo Travaglini (1993)

Colloquium Mathematicae

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We study polyhedral Dirichlet kernels on the n-dimensional torus and we write a fairly simple formula which extends the one-dimensional identity $\sum_{j = - N}^{N} e^{i j t} = s i n ((N + (1 / 2)) t) / s i n ((1 / 2) t)$ . We prove sharp results for the Lebesgue constants and for the pointwise boundedness of polyhedral Dirichlet kernels; we apply our results and methods to approximation theory, to more general summability methods and to Fourier series on compact Lie groups, where we write an asymptotic formula for the Dirichlet kernels.

Displaying similar documents to “Degree of approximation of conjugate of a function belonging to Lip ( ξ ( t ) , p ) class by matrix summability means of conjugate Fourier series.”

Displaying similar documents to “Degree of approximation of conjugate of a function belonging to Lip $(ξ (t), p)$ class by matrix summability means of conjugate Fourier series.”