On some isometric spaces of and .
On some limits and series arising from semigroup theory.
On some new sequence spaces in 2-normed spaces using ideal convergence and an Orlicz function.
On some new type generalized difference sequence spaces
On some -convex sequences.
On some properties of multiple moduli of continuity.
On some sequences derived from the Poisson distribution.
On some topological properties of generalized difference sequence spaces.
On spaces with the ideal convergence property
Let I ⊆ P(ω) be an ideal. We continue our investigation of the class of spaces with the I-ideal convergence property, denoted (I). We show that if I is an analytic, non-countably generated P-ideal then (I) ⊆ s₀. If in addition I is non-pathological and not isomorphic to , then (I) spaces have measure zero. We also present a characterization of the (I) spaces using clopen covers.
On statistically convergent sequences of real numbers
On subseries.
On Subseries of Divergent Series
On summations on locally compact spaces
On the Acceleration of Limit Periodic Continued Fractions.
On the consistency of limitation methods for summable sequences.
On The Convergence Of Certain Sequences IV
On the convergence of certain sequences, V.
On the convergence of generalized polynomial chaos expansions
A number of approaches for discretizing partial differential equations with random data are based on generalized polynomial chaos expansions of random variables. These constitute generalizations of the polynomial chaos expansions introduced by Norbert Wiener to expansions in polynomials orthogonal with respect to non-Gaussian probability measures. We present conditions on such measures which imply mean-square convergence of generalized polynomial chaos expansions to the correct limit and complement...
On the convergence of generalized polynomial chaos expansions
A number of approaches for discretizing partial differential equations with random data are based on generalized polynomial chaos expansions of random variables. These constitute generalizations of the polynomial chaos expansions introduced by Norbert Wiener to expansions in polynomials orthogonal with respect to non-Gaussian probability measures. We present conditions on such measures which imply mean-square convergence of generalized polynomial...
On the convergence of lacunary polynomials