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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the Turán number of theta graphs
θ图 图兰数 图论
2023/4/26
Turán-type problem may be one of central problems in extremal graph theory. Particularly, the Turán number of a cycle attracts much attention. In this talk, we introduce a terminology, that is, theta ...
Abstract: The main observation of this note is that the Lebesgue measure $\mu$ in the Tur\'an-Nazarov inequality for exponential polynomials can be replaced with a certain geometric invariant $\omega ...
Turánnical hypergraphs
Turánnical hypergraphs math
2010/11/11
This paper is motivated by the question of how global and dense restriction sets in results from extremal combinatorics can be replaced by less global and sparser ones. The result we consider here as ...
Tur醤-Type Inequalities for Some $q$-Special Functions
Turan's inequality $q$-polygamma functions $q$-zeta function
2010/1/22
In this paper, we give new Turán-type inequalities for some q-special functions, using a q- analogue of a generalization of the Schwarz inequality.
A Computer Proof of Turán's Inequality
Turán's inequality Cylindrical Algebraic Decomposition
2008/7/3
A Computer Proof of Turán's Inequality.
Erdõs-Turán Type Inequalities.
Tur醤 Inequalities and Subtraction-free Expressions
Turán inequalities Subtraction-free expressions Riemann zeta function Zero-free region
2010/1/22
By using subtraction-free expressions, we are able to provide a new proof of the Turán inequalities for the Taylor coefficients of a real entire function when the zeros belong to a specified sector.
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Tur醤-type Inequalities for some Special Functions
Turánians Polygamma functions Riemann zeta function
2008/6/26
We use a generalization of the Schwarz inequality to give a short proof of new Turán-type inequalities for polygamma and Riemann zeta functions.