A general theorem covering many absolute summability methods
A general theorem concerning many absolute summability methods is proved.
A general theorem on Nörlund summability of Fourier series with applications
A Generalization of Tauber's Theorem and Some Tauberian Constants (IV).
A generalization of the diagonal theorem on a block-matrix
A Generalization Of The Notions Of Regular An Perfect Convergence Method
A generalization theorem covering many absolute summability methods.
A Generalized Orlicz-Pettis Theorem and Applications.
A hybrid of Darboux's method and singularity analysis in combinatorial asymptotics.
A Korovkin type approximation theorems via -convergence
Using the concept of -convergence we provide a Korovkin type approximation theorem by means of positive linear operators defined on an appropriate weighted space given with any interval of the real line. We also study rates of convergence by means of the modulus of continuity and the elements of the Lipschitz class.
A later note on the relationships of numerical sequences.
A Mercerian Theorem for Nörlund Means.
A Mercerian theorem for slowly varying sequences.
A method of solving .
A multivariate Lagrange inversion formula for asymptotic calculations.
A new class of infinite products, and Euler's totient.
A new class of sequence spaces with applications in summability theory.
A new criterion for the absolute Riesz summability of the conjugate series of a Fourier series
A new extension of monotone sequences and its applications.
A New Method of Evaluating th Sums of ...(-1)k+1 k-2p, p = 1, 2, 3, ... and Related Series.
A new proof of multisummability of formal solutions of non linear meromorphic differential equations
We give a new proof of multisummability of formal power series solutions of a non linear meromorphic differential equation. We use the recent Malgrange-Ramis definition of multisummability. The first proof of the main result is due to B. Braaksma. Our method of proof is very different: Braaksma used Écalle definition of multisummability and Laplace transform. Starting from a preliminary normal form of the differential equationthe idea of our proof is to interpret a formal power series solution...