On Toeplitz sections in FK-spaces
On Tornheim's double series
On totally non-commutative convergence groupoids
On transfinite sequences of B-measurable functions
On translativity of absolute Rogosinski-Bernstein summability methods.
On two summability methods
On two-scale convergence and related sequential compactness topics
A general concept of two-scale convergence is introduced and two-scale compactness theorems are stated and proved for some classes of sequences of bounded functions in involving no periodicity assumptions. Further, the relation to the classical notion of compensated compactness and the recent concepts of two-scale compensated compactness and unfolding is discussed and a defect measure for two-scale convergence is introduced.
On uniform approximation of bounded approximately continuous functions by differences of lower semicontinuous and approximately continuous ones
On Valiron and Circle Convergence.
On value-relations, functional relations and singularities of Mordell-Tornheim and related triple zeta-functions
On weak statistical convergence.
On Witten multiple zeta-functions associated with semisimple Lie algebras I
We define Witten multiple zeta-functions associated with semisimple Lie algebras , of several complex variables, and prove the analytic continuation of them. These can be regarded as several variable generalizations of Witten zeta-functions defined by Zagier. In the case , we determine the singularities of this function. Furthermore we prove certain functional relations among this function, the Mordell-Tornheim double zeta-functions and the Riemann zeta-function. Using these relations, we prove...
On -valued sequence spaces.
On -convergence of sequences
On -statistically convergent double sequences of fuzzy numbers.
On -convergence and -density
On summability factors.
Optimal Transformations for Scalar Sequences.
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