On -summability of orthogonal series
In the paper, we prove two theorems on summability, , of orthogonal series. Several known and new results are also deduced as corollaries of the main results.
On Abel summability of multiple Jacobi series
On Abel-type methods of summability.
On absolute Cesàro summability.
On absolute Cesàro summability factors of infinite series
On absolute matrix summability methods.
On absolute summability factors for summability
In this paper a theorem on summability factors, which generalizes a theorem of Mishra and Srivastava [MS] on summability factors, has been proved.
On absolutely divergent series
We show that in the -stage countable support iteration of Mathias forcing over a model of CH the complete Boolean algebra generated by absolutely divergent series under eventual dominance is not isomorphic to the completion of P(ω)/fin. This complements Vojtáš’ result that under the two algebras are isomorphic [15].
On a.e. convergence of expansion with respect to a bounded orthonormal system of polygonals
On almost increasing sequences and its applications.
On almost summability of conjugate Fourier series.
On an application of almost increasing sequences.
On an inclusion theorem.
On an open problem of Bai-Ni Guo and Feng Qi.
On analytic continuation of summability transforms.
On asymptotic behaviour of some sequences built of iterates
On (C,1) summability of integrable functions with respect to the Walsh-Kaczmarz system
Let G be the Walsh group. For we prove the a. e. convergence σf → f(n → ∞), where is the nth (C,1) mean of f with respect to the Walsh-Kaczmarz system. Define the maximal operator We prove that σ* is of type (p,p) for all 1 < p ≤ ∞ and of weak type (1,1). Moreover, , where H is the Hardy space on the Walsh group.
On certain iterative sequences
On characterization of summability fields by integral
ON COMPACT AFFINE SEMIGROUPS.