On summability factors of Fourier series
On Spectral Means And Some Of Their Applications
On the absolute Harmonic summability factors of a Fourier series.
On the approximation by Euler, Borel and Taylor means in enlarged Hölder classes
We generalize and improve in some cases the results of Mahapatra and Chandra [7]. As a measure of Hölder norm approximation, generalized modulus-type functions are used.
On the approximation of function by Robel matrix
On the approximation of functions by matrix means in the generalized Hölder metric
Under some assumptions on the matrix of a summability method, whose rows are sequences of bounded variation, we obtain a generalization and an improvement of some results of Xie-Hua Sun and L. Leindler.
On the boundedness of the norms of trigonometric polynomials and their application to summation methods of Fourier series.
On the degree of strong approximation of integrable functions.
On the degree of strong approximation of integrable functions in Stepanov sense
Considering the class of almost periodic functions integrable in the Stepanov sense we extend and generalize certain results of the first author, as well as of L. Leindler and P. Chandra.
On the finite Fourier transforms of functions with infinite discontinuities.
On the Hausdorff summability of series associated with a Fourier and its allied series
Recently, Tripathy - Jour. Ind. Math. Soc., 32 (1960), 141-154 - has proved some results on absolute Hausdorff summability of some series associated with Fourier series and its allied series, which generalise the results proved by Mohanty on absolute Cesaro summability. Proceeding on the similar lines, the author has generalised the results of Cheng - Duke Math. Jour., 15 (1948), 17-27 - by proving them on absolute Hausdorff summability.
On the local properties of factored Fourier series.
On the local properties of factored Fourier series.
On the localization of factored Fourier series.
On the mean summability by Cesàro method of Fourier trigonometric series in two-weighted setting.
On the pointwise strong approximation by (C,1)(E,1) means
We present an estimate of the (C,1)(E,1)-strong means with mixed powers of the Fourier series of a function as a generalization of the result obtained by M. Yildrim and F. Karakus. Some corollaries on the norm approximation are also given.
On the quantitative Fatou property
The result of this article together with [1] and [4] gives a full quantitative description of a Fatou type property for functions from Hardy classes in the upper half plane.
On the rate of pointwise summability of Fourier series.
On the rate of strong summability by matrix means in the generalized Hölder metric.
On the rate of summability by matrix means in the generalized Hölder metric
We will generalize and improve the results of T. Singh [Publ. Math. Debrecen 40 (1992), 261-271] obtaining the L. Leindler type estimates from [Acta Math. Hungar. 104 (2004), 105-113].