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New examples of K-monotone weighted Banach couples
K-monotone couples w-decomposable Banach lattices symmetric spaces ultrasymmetric spaces weighted symmetric spaces Lorentz spaces
2012/6/25
Some new examples of K-monotone couples of the type (X, X(w)), where X is a symmetric space on [0, 1] and w is a weight on [0, 1], are presented. Based on the property of the w-decomposability of a sy...
Cartan MASAs in von Neumann Algebras are Norming and a New Proof of Mercer's Theorem
Norming algebra Cartan MASA C*-diagonal
2012/3/1
In this note we observe that a result of Sinclair and Smith together with the Feldman-Moore description of a von Neumann algebra with a Cartan MASA shows that Cartan MASAs are norming. We also use the...
New inequalities of Ostrowski type for mappings whose derivatives are s-convex in the second sense via fractional integrals
Ostrowski type inequality convex function Riemann-Liouville fractional integral
2011/9/22
Abstract: New identity similar to an identity of [13] for fractional integrals have been defined. Then making use of this identity, some new Ostrowski type inequalities for Riemann-Liouville fractiona...
A generalized Young inequality and some new results on fractal space
Dfractal real line number system fractional set generalized Young inequality
2011/9/21
Abstract: Starting with real line number system based on the theory of the Yang's fractional set, the generalized Young inequality is established. By using it some results on the generalized inequalit...
Some new Inequalities of Hardy-Hilbert Type with general kernel
Hardy-Hilbert’s inequality Hardy’s inequalities Holder inequality
2011/9/20
Abstract: In this paper, by using hardy inequality, we establish some new integral inequalities of Hardy-Hilbert type with general kernel. As applications, equivalent forms and some particular results...
A New Formula for the Natural Logarithm of a Natural Number
Natural Logarithm Natural Number Classical Analysis and ODEs
2011/9/20
Abstract: For every natural number $T,$ we write $\Ln T$ as a series, generalizing the known series for $\Ln 2.$.
On Some New Hadamard-Type Inequalities for Coordinated Quasi-convex Functions
Quasi-convex functions Holder Inequality Power Mean Inequality co-ordinates Lipschitzian function
2011/9/15
Abstract: In this paper, we establish some Hadamard-type inequalities based on coordinated quasi-convexity. Also we define a new mapping associated to coordinated convexity and we prove some propertie...
Noncommutative circle bundles and new Dirac operators
Noncommutative circle bundles new Dirac operators
2011/1/21
We study the spectral triples over the total space of noncommutative principal U(1) bundles. Basing on the classical situation and the abstract algebraic approach we propose a definition of connection...
Any l-state solutions of the Woods-Saxon potential in arbitrary dimensions within the new improved quantization rule
Woods-Saxon potential improved quantization rule Pekeris approximation
2010/12/13
The approximated energy eigenvalues and the corresponding eigenfunctions of the spherical
Woods-Saxon effective potential in D dimensions are obtained within the new improved quantization rule for al...
A New Integrable Reduction of the Coupled NLS Equation
Multiple Scales Method Coupled nonlinear Klein-Gordon Equation Coupled NLS Equation Spectral Problem Integrable Hamiltonian system
2010/3/4
The method of multiple scales is used to derive a new integrable coupled nonlinear Schr\\"odinger equation (CNLS) as an amplitude equation from the coupled nonlinear Klein-Gordon Equation (CNKG). We a...