729 resultados para Vanishing Theorems


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MSC 2010: 34A37, 34B15, 26A33, 34C25, 34K37

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MSC 2010: 42C40, 94A12

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2000 Mathematics Subject Classification: 14H45, 14H50, 14J26.

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Bahsen Ismailova-Isufova, Ridvan Isufov - In this paper it is described the birth and the growth during the last 50 years of the idea for the systematization of definitions and theorems based on the activities which can be done with them. Also there are methods to include the personal computers in this activity and to continue the research of the role for extending the heuristics abilities of students.

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Георги С. Бойчев - В статията се разглежда метод за сумиране на редове, дефиниран чрез полиномите на Ермит. За този метод на сумиране са дадени някои Тауберови теореми.

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AMS subject classification: 65K10, 49M07, 90C25, 90C48.

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2010 Mathematics Subject Classification: 53A07, 53A35, 53A10.

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2010 Mathematics Subject Classification: 37K40, 35Q15, 35Q51, 37K15.

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2000 Mathematics Subject Classification: 60J80, 62P05.

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2000 Mathematics Subject Classification: 62H15, 62P10.

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The deviations of some entire functions of exponential type from real-valued functions and their derivatives are estimated. As approximation metrics we use the Lp-norms and power variations on R. Theorems presented here correspond to the Ganelius and Popov results concerning the one-sided trigonometric approximation of periodic functions (see [4, 5 and 8]). Some related facts were announced in [2, 3, 6 and 7].

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2010 Mathematics Subject Classification: 60J80.

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2000 Mathematics Subject Classification: 65G99, 65K10, 47H04.

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In this paper, we give several results for majorized matrices by using continuous convex function and Green function. We obtain mean value theorems for majorized matrices and also give corresponding Cauchy means, as well as prove that these means are monotonic. We prove positive semi-definiteness of matrices generated by differences deduced from majorized matrices which implies exponential convexity and log-convexity of these differences and also obtain Lypunov's and Dresher's type inequalities for these differences.

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2000 Mathematics Subject Classification: Primary 60G51, secondary 60G70, 60F17.