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Volume
6, No.
3, September
2013,
Dhu al-Qa'dah
1434 H
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Articles |
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TENSOR PRODUCT OPERATORS INDUCE DYNAMICAL SYSTEM ON WEIGHTED LOCALLY CONVEX SPACE
In this paper we obtained dynamical system induced by tensor product of composition and multiplication operators on tensor product of weighted locally convex space of cross-sections LV0(X)(orLVb(X)) and holomorphic functions HVb(X,Y)(or HV0(X,Y). |
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D.SENTHILKUMAR P.CHANDRA KALA
T. PRASAD
JJMS, 2013, 6(3), 169-181
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TOPOLOGY ON GRILL M-SPACE
This paper is devoted to obtain a topology from a non topological space which is already in literature. Some characterizations of this topology will be discussed in detail. |
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SHYAMAPADA MODAK
JJMS, 2013, 6(3), 183-195
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THE
ANTI - CENTRO - SYMMETRIC EXTREMAL
RANK
SOLUTIONS
OF THE
MATRIX
EQUATION
AX
= B
A matrix
A = (aij)
Є
Rnxn
is said
to be a
centro-symmetric
matrix
if aij
= - an+1-i,n+1-j,
i, j =
1,2,...,n.
In this
paper,
we
mainly
investigate
the
anti-centro-symmetric
maximal
and
minimal
rank
solutions
to the
system
of
matrix
equation
AX = B.
We
present
necessary
and
sufficient
conditions
for the
existence
of the
maximal
and
minimal
rank
solutions
with
anti-centro-symmetric
to the
system.
The
expressions
of such
solutions
to this
system
are also
given
when the
solvability
conditions
are
satisfied.
In
addition,
in
corresponding
the
minimal
rank
solution
set to
the
system,
the
explicit
expression
of the
nearest
matrix
to a
given
matrix
in the
Frobenius
norm has
been
provided. |
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XIAO
QINGFENG
JJMS,
2013, 6(3),
197-210
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NEW SHARP
OSTROWSKI -
GRǕSS
TYPE
INEQUALITY
Using a Grűss
type
inequality
for
Lipschitzian
type
functions to
obtain a
sharp
Ostrowski-Gr¨uss
type
inequality
in which a
unified
treatment of
sharp
integral
inequalities
for
Lipschitzian
type
functions of
mid-point,
trapezoid
and Simpson
type is
provided.
Applications
for
cumulative
distribution
functions
are given. |
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ZHENG LIU
JJMS,
2013, 6(3),
211-224
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ON
GENERALIZED
HERMITE
HADAMARD’S
INEQUALITY
The
object
is to
construct
the
log-convex
and the
exponential
convex
functions
via
functional
generalization
of
Hermite
Hadamard’s
inequality
for some
special
classes
of
continuous
functions
defined
on
compact
interval
in R.
Constructed
n-exponentially
convex
functions
are used
to
obtain
the
generalization
of
already
discovered
mean
with
positive
weights
p and q,
and
prove
their
monotonicit
and also
introduce
several
classes
of
Stolarsky
means
called
Stolarsky
type
means.
Prove
Minkowsky
type
inequalities
for new
discovered
means as
applications
of
Lyponuve
type
inequalities
of
constructed
log-convex
functions. |
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MATLOOB
ANWAR
JOSIP
PEČARIĆ
GHOLAM ROQIA
JJMS,
2013, 6(3),
225-249
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