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Latest
Issue
Volume
16, No.
1,
March
2023
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On a
q-Analogue
of the Right
Local
General
Truncated
M-Fractional
Derivative
We introduce
a q-analogue
of the right
local
general
truncated M-
fractional
derivative
for
α-differentiable
functions.
From this
newly
defined
operator,
q-analogues
of the
standard
properties
and results
of the
α-right
local
general
truncated
M-fractional
derivative
like the
Rolle’s
theorem, the
mean value
theorem and
its
extension,
inverse
property,
the
fundamental
theorem of
calculus and
the theorem
of
integration
by parts are
obtained. In
context with
this
q-fractional
derivative
operator, a
q-analogue
of a
physical
problem, the
falling body
problem, is
obtained.
Also, the
q-vertical
velocity and
the
q-distance
are obtained
from this
problem and
the
solutions
has been
compared and
shown in the
graphs for
various
combination
of
q-parameter
and
fractional
order α with
the
classical
ordinary
solution. |
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Rajendrakumar B. Chauhan
Meera H. Chudasama
JJMS, 2023,
16(1),
1-22 |
Bahadur’s
stochastic
comparison
of
asymptotic
relative
efficiency
of
combining
Infinitely
many
independent
tests
in
case
of
conditional
extreme
value
distribution
is
proposed.
Six
distribution-free
combination
producers
namely;
Fisher,
logistic,
sum
of
p-values,
inverse
normal,
Tippett’s
method
and
maximum
of
p-values
were
studied.
Several
comparisons
among
the
six
procedures
using
the
exact
Bahadur’s
slopes
were
obtained.
Results
showed
that
the
logistic
producer
is
the
best
procedure.
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Mohammed
Al-Haj
Ebrahem
Abedel-Qader
S. Al-Masri
JJMS,
2023,
16(1),
23-40
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Bouharket
Bendouma
JJMS, 2023,
16(1),
41-55
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On ⁎-strong Commutativity Preserving with Endomorphisms
In this paper, we investigate commutativity of a prime ring with involution. More specifically, we introduce certain algebraic identities of ⁎-strong commutativity with two endomorphisms, and study their connection with the commutativity of these rings. Finally, we provide examples to show that the various restrictions imposed in the hypothesis of our theorems are necessary.
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S. Dakir
A. Mamouni
JJMS, 2023,
16(1),
57-66
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Properties of Rationalized Toeplitz Hankel Operators
In this paper, we introduce and study the notion of Rationalized Toeplitz Hankel Matrix of order (k1, k2) as the two way infinite matrix (αij) such that
αij = αi+k2,j+k1
where k1 and k2 are relatively prime non zero integers. It is proved that a bounded linear operator R on L2 is a Rationalized Toeplitz Hankel operator [5] of order (k1, k2) if and only if its matrix w.r.t. the orthonormal basis {zi: i ϵ Z} is a Rationalized Toeplitz Hankel matrix of the same order. Some algebraic properties of the Rationalized Toeplitz Hankel operator Rφ like normality, hyponormality and compactness are also discussed.
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Ruchika
Batra (Verma)
JJMS, 2023,
16(1),
67-78
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N. Laribi
B. Meftah
JJMS, 2023,
16(1),
79-98
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Generalized
Riesz
Representation
Theorem in
n-Hilbert
Space
In respect
of b-linear
functional,
Riesz
representation
theorem in
n- Hilbert
space have
been proved.
We define b-sesquilinear
functional
in n-Hilbert
space and
establish
the
polarization
identities.
A
generalized
form of the
Schwarz
inequality
in n-Hilbert
space is
being
discussed.
Finally, we
develop a
generalized
version of
Riesz
representation
theorem with
respect to
b-sesquilinear
functional
in n-Hilbert
space.
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Prasenjit
Ghosh
T. K.
Samanta
JJMS, 2023,
16(1),
99-115
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A
Classification
of Kenmotsu
Manifold
Admitting
⁎-Einstein
Soliton
In this
paper, we
initiate the
study of
⁎-Einstein
soliton on
Kenmotsu
manifold,
whose
potential
vector field
is torse-forming.
Here, we
have shown
the nature
of the
soliton and
find the
scalar
curvature
when the
manifold
admitting
⁎-Einstein
soliton on
Kenmotsu
manifold.
Next, we
have evolved
the
characterization
of the
vector field
when the
manifold
satisfies
⁎-Einstein
soliton. We
have embel
lished some
applications
of vector
field as
torse-forming
in terms of
⁎-Einstein
soli ton on
Kenmotsu
manifold.
Also, we
have studied
infinitesimal
CL-transformation
and
Schouten-Van
Kampen
connection
on Kenmotsu
manifold,
whose metric
is
⁎-Einstein
soliton. We
have
developed an
example of
⁎-Einstein
soliton on
3-dimensional
Kenmotsu
manifold to
prove our
findings.
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Soumendu Roy
Santu Dey
Arindam
Bhattacharyya
Xiaomin Chen
JJMS, 2023,
16(1),
117-138
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Position
Vectors of a
Relatively
Normal-slant
Helix in
Euclidean
3-space
In this
paper, we
give a new
characterization
of a
relatively
normal-
slant helix.
Thereafter,
we construct
a vector
differential
equation of
the third
order to
determine
the
parametric
representation
of a
relatively
normal-slant
helix
according to
standard
frame in
Euclidean
3-space.
Finally, we
apply this
method to
find the
position
vector of
some special
cases.
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Abderrazzak
El Haimi
Amina
Ouazzani
Chahdi
JJMS, 2023,
16(1),
139-152
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A Note on
the Bounds
of Zeros of
Polynomials
and certain
Class of
Transcendental
Entire
Functions
In the paper
we wish to
find bounds
of zeros of
a
polynomial.
Our result
in some
special case
sharpen some
very well
known
results
obtained for
this
purpose.
Also, we
obtain lower
bound for a
certain
class of
transcendental
entire
functions by
restricting
the
coefficients
of its
Taylor’s
series
expansions
to some
conditions.
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Tanchar
Molla
Sanjib Kumar
Datta
JJMS, 2023,
16(1),
153-163
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Krasner (m,
n)-Hyperring
of Fractions
The
formation of
rings of
fractions
and the
associated
process of
localization
are the most
important
technical
tools in
commutative
algebra.
Krasner (m,
n)-hyperrings
are a
generalization
of (m,
n)-rings.
Let R be a
commutative
Krasner (m,
n)-hyperring.
The aim of
this
research
work is to
introduce
the concept
of hyperring
of fractions
generated by
R and then
investigate
the basic
properties
such
hyperrings.
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M. Anbarloei
JJMS, 2023,
16(1),
165-185 |
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