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A further generalization of the Bernoulli polynomials and on the 2D-Bernoulli polynomials B_n^2(x,y)
Bernoulli numbers and Bernoulli polynomials Appell polynomials
2010/9/26
In this work we give some recurrence relations of the new generalized Bernoulli polynomials and numbers. Furthermore a relation is given between 2D-Bernoulli polynomials and 2-variable Hermite Kamp&ac...
A generalization of the implicit function theorem
Implicit Function Theorem convex subsets Banach spaces
2010/9/25
In this work, we generalize the classical theorem of the implicit function, for functions whose domains are open subset of Banach spaces in to a Banach space, to the case of functions whose domains ar...
Generalization for lattice system with equal components
Linear k-within-(m,s)-of-(m,n) G lattice system Multi-state system
2010/9/14
This paper proposes a model that generalizes the linear k-within-(m,s)-of-(m,n):G lattice system to multi-state case. In this model the system consists of mn components arranged in m rows and n column...
New classes containing generalization of differential operator
Differential operator Fekete-Szeg¨o functional
2010/9/17
New classes containing generalization of differential operator are introduced. Characterization and other properties of these classes are studied. Moreover, Fekete-Szeg¨o functional for these classes ...
A generalization of Hardy-Hilbert's integral inequality and its reverse
Hardy-Hilbert's integral inequality reverse
2010/9/10
New generalizations of Hardy-Hilbert's integral inequality and its reverse via new methods are established.
A Generalization for Ostrowski's Inequality in $\mathbb{R}^2$
Ostrowski's inequality Mean value theorem
2008/7/3
We establish a new Ostrowski's inequality in by using an idea of B.G. Pachpatte.
A Generalization of an Inequality Involving the Generalized Elementary Symmetric Mean
Generalized elementary symmetric mean Inequality
2008/7/3
A generalization of an inequality involving the generalized elementary symmetric mean and its elementary proof are given.
A Generalization Of An Inequality Of Jia And Cau.
A Generalization of Andersson's Inequality
Andersson's inequality Convex functions Linear functional
2008/7/3
Andersson's Inequality is generalized by replacing the integration there with a positive linear functional which operates on a composition of two functions. These two functions have rather light restr...
A Generalization of Constantin's Integral Inequality and its Discrete Analogue
Nonlinear integral inequality Discrete analogue Bound on solutions
2008/7/3
A generalization of Constantin's integral inequality and its discrete analogy are established. A discrete analogue of Okrasinsky's model for the infiltration phenomena of a fluid is also discussed to ...
A Generalization of Hölder and Minkowski Inequalities
Inequalities Hö lder Minkowski Sequence algebra Vector-valued sequence space
2008/7/3
A Generalization of Hölder and Minkowski Inequalities.
A Generalization Of Ozaki-Nunokawa's Univalence Criterion
Univalent function univalence criteria Loewner chains
2008/7/3
In this paper we obtain a generalization of Ozaki-Nunokawa's univalence criterion using the method of Loewner chains.
In their 1987 paper, L. Maligranda and W. Orlicz gave a lemma which supplies a test to check that some function spaces are Banach algebras. In this paper we give a more general version of the Maligran...
Best Generalization of a Hilbert Type Inequality
Hilbert's type integral inequality Weight coefficient Weight function Hö lder's inequality
2008/7/1
By introducing a parameter , we have given generalization of Hilbert's type integral inequality with a best possible constant factor. Also its equivalent form is considered, and the generalized formul...
Best Generalization of Hardy-Hilbert's Inequality With Multi-Parameters
Hardy-Hilbert's inequality Hö lder's inequality weight function $beta$ function
2008/7/1
By introducing some parameters and the function and improving the weight function, we obtain a generalization of Hilbert's integral inequality with the best constant factor. As its applications, we b...