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
O-Regularly Varying Convergence Moduli of Fourier and Fourier-Stieltjes Series.
Orlicz spaces connected with strong summability. III. On strong (..., ...)-summability.
Outer compositions of hyperbolic/loxodromic linear fractional transformations.