In this paper, we define the sequence space BVq (f,p,q,s) on a seminormed complex linear space, by using a Modulus function. We give various properties and some inclusion relations on this space.
A *-ring R is called a strongly *-clean ring if every element of
R is the sum of a unit and a projection that commute with each other. In
this paper, we explore strong ^-cleanness of rings of ...continuous functions over
spectrum spaces. We prove that a *-ring R is strongly *-clean if and only if R
is an abelian exchange ring and C (X ) (C * (X )) is *-clean, if and only if R is
an abelian exchange ring and the classical ring of quotients q (C (X )) of C (X )
is *-clean, where X is a spectrum space of R.
In this paper, we investigate a general formulation for inextensible
flows of semi-real quaternionic curve in R42
. We obtain necessary and su¢ cient
conditions for inextensible ow of semi-real ...quaternionic curves. Moreover, we
give the evolution equation of curvatures as a partial di¤erential equation.
In this paper two dimensional parabolic equation with Dirichlet
type boundary condition is considered. The existence and uniqueness of so-
lution are shown. Also we construct an iteration algorithm ...for the numerical
solution of this problem.
In the present paper, we introduce Stancu type generalization of (p, q)-Szasz-Mirakyan-Baskakov operators and investigate their approximation properties such as weighted approximation, rate of ...convergence and pointwise convergence.
Following a very recent approach, we generalize recently introduced
summability method, namely, I —statistical convergence. We use an
infinite matrix of complex numbers and an a number to do this ...generalization.
We call this new convergence as A1—statistical convergence of order a
with respect to a sequence of modulus functions. We also define two new spaces
by using strong convergence and Cesaro summability and after giving these
descriptions, we investigate their relationship and we obtain some results.
In this study, some necessary and sufficient conditions are given
for the stability of some class of difference equations including generalized
difference operator. For this, Schur-Cohn criteria is ...used and some examples
are given to verify the results obtained.
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