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Displaying 501 – 520 of 574

Translativity of absolute weighted mean summability

Cihan Orhan (1998)

Czechoslovak Mathematical Journal

In this paper, we give necessary and sufficient conditions on $(p_{n})$ for $| R, p_{n} |_{k}$ , $k \geq 1$ , to be translative. So we extend the known results of Al-Madi [1] and Cesco $[4]$ to the case $k > 1$ .

Truncation Error Analysis by Means of Approximant Systems and Inclusion Regions.

W.B. Jones (1976)

Numerische Mathematik

Truncation Error Bounds for Limit-Periodic Continued Fractions K(an/1) With lim an = 0.

Christopher Baltus, William B. Jones (1985)

Numerische Mathematik

Truncation Error Bounds for Modified Continued Fractions with Applications to Special Functions.

W.B. Jones, Christopher Baltus (1987)

Numerische Mathematik

Two geometric constants for operators acting on a separable Banach space.

E. Martín Peinador, E. Induráin, A. Plans Sanz de Bremond, A. A. Rodes Usan (1988)

Revista Matemática de la Universidad Complutense de Madrid

The main result of this paper is the following: A separable Banach space X is reflexive if and only if the infimum of the Gelfand numbers of any bounded linear operator defined on X can be computed by means of just one sequence on nested, closed, finite codimensional subspaces with null intersection.

Two valued measure and some new double sequence spaces in $2$ -normed spaces

Pratulananda Das, Ekrem Savaş, Santanu Bhunia (2011)

Czechoslovak Mathematical Journal

The purpose of this paper is to introduce some new generalized double difference sequence spaces using summability with respect to a two valued measure and an Orlicz function in $2$ -normed spaces which have unique non-linear structure and to examine some of their properties. This approach has not been used in any context before.

Two valued measure and summability of double sequences

Pratulananda Das, Santanu Bhunia (2009)

Czechoslovak Mathematical Journal

In this paper, following the methods of Connor [connor], we extend the idea of statistical convergence of a double sequence (studied by Muresaleen and Edely [moe]) to $μ$ -statistical convergence and convergence in $μ$ -density using a two valued measure $μ$ . We also apply the same methods to extend the ideas of divergence and Cauchy criteria for double sequences. We then introduce a property of the measure $μ$ called the (APO $_{2}$ ) condition, inspired by the (APO) condition of Connor [jc]. We mainly investigate...