O the absolute Nörlund summability of a series associated with a Fourier series.
On a Bojanić-Stanojević type inequality and its applications.
On a generalization of Lipschitz's classes.
On a generalization of the martingale maximal theorem
On a local property of summability of Fourier series
On an extrapolation theorem of Carleson-Sjölin type with applications to a.e. convergence of Fourier series
On certain linear combinations of partial sums of Fourier series
On convergence of Fourier series of functions of generalized bounded variation
On convergence of the Fourier series of a constructive function of weakly bounded variation
On Euler means and T-means of orthogonal series
On holomorphy in Banach spaces and absolute convergence of Fourier series
On convergence of certain cosine sums.
On convergence of certain cosine sums with twice quasi semi-convex coefficients.
On -convergence of certain generalized modified trigonometric sums
On integrability and convergence of trigonometric series
We first give a necessary and sufficient condition for , 1 < p < ∞, 1/p - 1 < γ < 1/p, where ϕ(x) is the sum of either or , under the condition that λₙ (where λₙ is aₙ or bₙ respectively) belongs to the class of so called Mean Value Bounded Variation Sequences (MVBVS). Then we discuss the relations among the Fourier coefficients λₙ and the sum function ϕ(x) under the condition that λₙ ∈ MVBVS, and deduce a sharp estimate for the weighted modulus of continuity of ϕ(x) in norm.
On Mohanty's Criterion for Absolute Convergence of Fourier Series.
On Nonlinear Condensation Principles with Rates.
On some properties of the class of stationary sets
Some new properties of the stationary sets (defined by G. Pisier in [12]) are studied. Some arithmetical conditions are given, leading to the non-stationarity of the prime numbers. It is shown that any stationary set is a set of continuity. Some examples of "large" stationary sets are given, which are not sets of uniform convergence.
On the absolute convergence of Fourier series.
On the absolute convergence of small gaps Fourier series of functions of .