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Latest
Issue
Volume
11, No.
1,
March
2018
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Articles |
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Homotopy
Regularization
Method to
Solve the
Singular
Volterra
Integral
Equations of
the First
Kind
In this
paper, by
combining
the
regularization
method (RM)
and the
homotopy
analysis
method (HAM)
a new
approach is
presented to
solve the
generalized
Abel's
integral
equations (AIEs)
of the first
kind which
is called
the HAM
regularization
method (HRM).
The RM is
applied to
transform
the first
kind
integral
equations (FKIEs)
to the
second kind
(SK) which
depends on
the
regularization
parameter
and the HAM
is used to
find the
solution of
AIEs of the
SK. The
validation
of results
are
illustrated
by
presenting a
convergence
analysis
theorem.
Also, the
efficiency
and accuracy
of the HRM
are shown by
solving
three
examples.
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Mohammad Ali Araghi
Samad Noeiaghdam
JJMS,
2018, 11(1),1-12
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I-Convergence Classes of Sequences and Nets in Topological Spaces
In
this
paper
we
have
used
the
idea
of
I-convergence
of
sequences
and
nets
to
study
certain
conditions
of
convergence
in a
topological
space.
It
has
been
shown
separately
that
a
class
of
sequences
and
a
class
of
nets
in a
non-empty
set
X
which
are
respectively
called
I-convergence
class
of
sequences
and
I-convergence
class
of
nets
satisfying
these
conditions
generate
a
topology
on
X.
Further
we
have
correlated
the
classes
of
I-convergent
sequences
and
nets
with
respect
to
these
topologies
with
the
given
classes
which
satisfy
these
conditions.
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Amar Kumar
Banerjee
Apurba
Banerjee
JJMS,
2018, 11(1),13-31
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Generalization of Value Distribution and Uniqueness of CertainTypes of Difference Polynomials
In this paper, we study the distribution of zeros and uniqueness of differential polynomials of the form fn(z)(f(z)-1)mΠdj=1f(z+cj)sj and fn(z)(fm(z)-1)Πdj=1f(z+cj)vj where cj(j = 1; 2;...; d) are complex constants, vj(j = 1; 2;...; d) are non-negative integers and σ = ∑dj=1vj sharing a small function with finite weight. The result obtained improves and generalizes the recent result.
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Harina P.
Waghamore
JJMS,
2018, 11(1),33-49
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Non-Uniform Wavelet Frames on Local Fields
Tight wavelet frames are distinct from the orthonormal wavelets because of redundancy. By relinquishing orthonormality and permitting redundancy, the tight wavelet frames turn out to be
significantly easier to construct than the orthonormal wavelets. In this paper, we introduce a notion of nonuniform wavelet system on nonarchimedean local fields of positive characteristic and gave a complete characterization of such systems to be tight nonuniform wavelet frames on local fields of positive characteristic by using Fourier transforms.
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O. Ahmad
N. A. Sheikh
JJMS, 2018,
11(1),51-67
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Efficiency of Adaptive Methods Using Simulated Alpha Skew Normal Two-Stage Data
Two-stage sampling improves variances for estimators of means and
regression coefficients because of intra-class homogeneity. To choose the appropriate way of allowing for clustering using sample data, an adaptive method will be evaluated in this paper based on testing the null hypothesis that the variance component of the random effect is zero. Rejecting the null hypothesis, clustering will be allowed for in variance estimation; otherwise clustering will be ignored. The data
will be simulated from alpha-skew normal distribution with different values of the parameter.
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Nesreen M.
Al-Olaimat
Loai M. A.
Al-Zou'bi
JJMS, 2018,
11(1),69-91
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