Mathematica Slovaca
SCIE-ISI SCOPUS (2007-2024)
1337-2211
0139-9918
Cơ quản chủ quản: De Gruyter Open Ltd. , Walter de Gruyter GmbH
Lĩnh vực:
Mathematics (miscellaneous)
Phân tích ảnh hưởng
Các bài báo tiêu biểu
Paranorm I-convergent sequence spaces
- 2009
Abstract In this article we introduced the sequence spaces c I(p), c 0I(p), m
I(p) and m 0I(p) for p = (p k), a sequence of positive real numbers. We study
some algebraic and topological properties of these spaces. We prove the
decomposition theorem and obtain some inclusion relations....
Generalized q-Baskakov operators
- 2011
Abstract In the present paper we propose a generalization of the Baskakov
operators, based on q integers. We also estimate the rate of convergence in the
weighted norm. In the last section, we study some shape preserving properties
and the property of monotonicity of q-Baskakov operators.
$\bar \lambda $-statistically convergent double sequences in probabilistic normed spaces
Tập 62 Số 1 - Trang 99-108 - 2012
Abstract The purpose of this paper is to introduce and study the concepts of
double $\bar \lambda $-statistically convergent and double $\bar \lambda
$-statistically Cauchy sequences in probabilistic normed space.
A gould type integral with respect to a multisubmeasure
Tập 58 Số 1 - Trang 43-62 - 2008
Abstract In [GOULD, G. G.: Integration over vector-valued measures, Proc. London
Math. Soc. (3) 15, (1965), 193–205], G. G. Gould introduced a type of integral
of a bounded, real valued function with respect to a finite additive set
function taking values in a Banach space, integral which is more general than
the Lebesgue one. Recently, A. Precupanu and A. Croitoru gave the
generalization, definin...
Some topological and geometric properties of generalized Euler sequence space
Tập 60 Số 3 - Trang 385-398 - 2010
Abstract In this paper, we introduce the Euler sequence space e r(p) of
nonabsolute type and prove that the spaces e r(p) and l(p) are linearly
isomorphic. Besides this, we compute the α-, β- and γ-duals of the space e r(p).
The results proved herein are analogous to those in [ALTAY, B.—BASŠAR, F.: On
the paranormed Riesz sequence spaces of non-absolute type, Southeast Asian Bull.
Math. 26 (2002),...
Companion d-algebras
- 2007
Abstract In this paper we develop a theory of companion d-algebras in sufficient
detail to demonstrate considerable parallelism with the theory of BCK-algebras
as well as obtaining a collection of results of a novel type. Included among the
latter are results on certain natural posets associated with companion
d-algebras as well as constructions on Bin(X), the collection of binary
operations on th...
The shifted Gompertz-G family of distributions: Properties and applications
Tập 71 Số 5 - Trang 1291-1308 - 2021
Abstract This article proposes a class of generator for classical statistical
distribution called the shifted Gompertz-G (SHIGO-G) distribution for generating
new continuous distributions. Special models of the proposed model were examined
together with some of its statistical properties in closed form which makes it
tractable for censored data. Its major properties include heavy tail,
approximate...
Symmetries in synaptic algebras
Tập 64 Số 3 - Trang 751-776 - 2014
Abstract A synaptic algebra is a generalization of the Jordan algebra of
self-adjoint elements of a von Neumann algebra. We study symmetries in synaptic
algebras, i.e., elements whose square is the unit element, and we investigate
the equivalence relation on the projection lattice of the algebra induced by
finite sequences of symmetries. In case the projection lattice is complete, or
even centrall...
The general gould type integral with respect to a multisubmeasure
- 2010
Abstract In two earlier papers [GAVRILUŢ, A.: A Gould type integral with respect
to a multisubmeasure, Math. Slovaca 58 (2008), 1–20] and [Gavriluţ, A.: On some
properties of the Gould type integral with respect to a multisubmeasure, An.
Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.) 52 (2006), 177–194], we defined and
studied a Gould type integral for a real valued, bounded function with respect
to ...
Coloring of lattices
Tập 60 Số 4 - Trang 419-434 - 2010
Abstract The concept of coloring is studied for graphs derived from lattices
with 0. It is shown that, if such a graph is derived from an atomic or
distributive lattice, then the chromatic number equals the clique number. If
this number is finite, then in the case of a distributive lattice, it is
determined by the number of minimal prime ideals in the lattice. An estimate for
the number of edges i...