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9.803  Articles
1 of 981 pages  |  10  records  |  more records»
 In this paper we prove some conditions for equivalent Cauchy sequences in partial metric spaces. These conditions are necessary and sufficient for 0-equivalent 0-Cauchy sequences in partial metric spaces. Some examples are given to illustrate the ob... see more

We introduce and study some basic properties of rough I- convergentpre-Cauchy sequences of triple sequence of Bernstein polynomials and also study the set of all rough I- limits of a pre-Cauchy sequence of triple sequence of Bernstein polynomials and rela... see more

In this paper we prove some new conditions for Cauchy sequences by using the diameter of orbit in partial metric spaces. A fixed point theorem for Meir-Keeler type contractions in this space is established.

This paper presents the following definition which is natural combition of the definition for asymptotically equivalent and Orlicz function. The two nonnegative double sequences x=(x_{k,l}) and y=(y_{k,l}) are said to be M-asymptotically double equivalent... see more


Mathematical expressions, which are regular deterministic rules for synthesis of generalized binary Barker binary sequences, were proposed in the scientific literature. Sequences, which can be synthesized within the framework of these mathematical express... see more

Recently Witula and Slota give decompositions of the Cauchy andFerrers-Jackson polynomials [Cauchy, Ferrers-Jackson and Chebyshevpolynomials and identities for the powers of elements of some conjugaterecurrence sequences, Central Europan J. Math., 2006]. ... see more

We formulate a criterion of uniqueness of solutions of a Cauchy problem using the comparison function of the Kamke type. This will be a generalization of classical results concerning first order equations with partial derivatives. We prove that the unique... see more

We study the relation between two known n-norms on lp, the space ofp-summable sequences. One n-norm is derived from GÄahler's formula (1969), whilethe other is due to Gunawan (2001). We show in particular that the convergence inone n-norm implies that in ... see more

1 of 981 pages  |  10  records  |  more records»