搜索结果: 1-12 共查到“应用数学 GENERALIZATIONS”相关记录12条 . 查询时间(0.093 秒)
We prove the Noether-Lefschetz conjecture on the moduli space of quasi-polarized K3 surfaces. This is deduced as a particular case of a general theorem that states that low degree cohomology classes o...
Beta Spaces: New Generalizations of Typically-Metric Properties
Beta Spaces Typically-Metric Properties
2010/11/23
It is well-known that point-set topology (without additional structure) lacks the capacity to generalize the analytic concepts of completeness, boundedness, and other typically-metric properties. The...
Carleman's Inequality - History, Proofs and Some New Generalizations
Inequalities Carleman's inequality Pólya-Knopp's inequality Sharp constants Proofs Weights Historical remarks
2008/7/1
Carleman's Inequality - History, Proofs and Some New Generalizations.
History, Generalizations And Unified Treatment Of Two Ostrowski's Inequalities
Ostrowski's inequalities Cauchy-Buniakowski-Schwarz inequality Gram's determinant Unitary vector space Superadditive function Interpolation
2008/7/1
In this paper we present a historical review of the investigation of two Ostrowski inequalities and describe several distinct streams for their generalizations. Also we point out some new methods to o...
Generalizations of a Class of Inequalities for Products
Inequality Product Arithmetic-geometric mean inequality Jensen's inequality
2008/7/1
In this paper, a class of inequalities for products of positive numbers are generalized.
Generalizations of Some New Čebyšev Type Inequalities
Č ebyš ev type inequalities Absolutely continuous functions Cauchy-Schwarz inequality for double integrals $L_p$ spaces Hö lder's integral inequality
2008/7/1
We provide generalizations of some recently published Čebyšev type inequalities.
Generalizations of the Ky Fan Inequality
Generalized logarithmic mean Monotonicity Ky Fan inequality
2008/7/1
Generalizations of the Ky Fan Inequality.
Generalizations of the Trapezoid Inequalities Based on a New Mean Value Theorem for the Remainder in Taylor's Formula
Classical trapezoid inequality Perturbed trapezoid inequality Mean value theorem Generalizations
2008/7/1
Generalizations of the classical and perturbed trapezoid inequalities are developed using a new mean value theorem for the remainder in Taylor's formula. The resulting inequalities for N-times differe...
Generalizations of the Triangle Inequality
Triangle inequality Hilbert space Sum of two Hilbert spaces various operators among Hilbert spaces Reproducing kernel Linear mapping Norm inequality
2008/7/1
Generalizations of the Triangle Inequality.
On Generalizations of L. Yang's Inequality
L. Yang's inequality Theory of distribution of functional value Jensen inequality
2008/6/27
A geometric inequality due to L. Yang involving cosine and sine functions is generalized.
On Some Generalizations of Steffensen's Inequality and Related Results
Steffensen's Inequality Chebychev functional
2008/6/27
Steffensen's inequality is generalised to allow bounds involving any two subintervals rather than restricting them to include the end points. Further results are obtained involving an identity related...
Some Problems and Solutions Involving Mathieu's Series and Its Generalizations
Mathieu's series Integral representations Bessel functions Hypergeometric functions One-sided inequalities Fourier transforms Riemann and Hurwitz Zeta Eulerian integral
2008/6/26
The authors investigate several recently posed problems involving the familiar Mathieu series and its various generalizations. For certain families of generalized Mathieu series, they derive a number ...