On the Construction of Iteration Methods for Linear Equations in Banach Spaces by Summation Methods.
On the dilution of series
On the generalized Cesàro summability factors.
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 Hausdorff-Limitability of ...
On the inclusion relation between strong and strong summability methods
On the localization of factored Fourier series.
On the (P) summability of a sequence of Fourier coefficients
On the relation between the Borel sum and the classical solution of the Cauchy problem for certain partial differential equations
On the strong Cesàro summability of double orthogonal series
On the strong lacunary convergence and strong Cesàro summability of sequences of real-valued functions.
On the weak Borel property of methods of summation
On the weight matrices of linear difference equations
On translativity of absolute Rogosinski-Bernstein summability methods.
On two summability methods
On -convergence and -density
Ordinary convergence follows from statistical summability (C,1) in the case of slowly decreasing or oscillating sequences
Schmidt’s Tauberian theorem says that if a sequence (xk) of real numbers is slowly decreasing and , then . The notion of slow decrease includes Hardy’s two-sided as well as Landau’s one-sided Tauberian conditions as special cases. We show that ordinary summability (C,1) can be replaced by the weaker assumption of statistical summability (C,1) in Schmidt’s theorem. Two recent theorems of Fridy and Khan are also corollaries of our Theorems 1 and 2. In the Appendix, we present a new proof of Vijayaraghavan’s...
Ordre, convergence et sommabilité de produits de séries de Dirichlet
L’article donne des réponses optimales ou presque optimales aux questions suivantes, qui remontent à Stieltjes, Landau et Bohr, et concernent des séries de Dirichlet