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Lebesgue functions and Lebesgue constants in polynomial interpolation [PDF]
Journal of Inequalities and Applications, 2016 The Lebesgue constant is a valuable numerical instrument for linear interpolation because it provides a measure of how close the interpolant of a function is to the best polynomial approximant of the function.
Bayram Ali Ibrahimoglu
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Learning Read-Constant Polynomials of Constant Degree Modulo Composites [PDF]
Theory of Computing Systems, 2011 Peer ...
Chattopadhyay, Arkadev +3 more
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Is Catalan’s Constant Rational?
Mathematics, 2022 This paper employs a contour integral method to derive and evaluate the infinite sum of the Euler polynomial expressed in terms of the Hurwitz Zeta function. We provide formulae for several classes of infinite sums of the Euler polynomial in terms of the
Robert Reynolds, Allan Stauffer
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Constant term identities and Poincaré polynomials [PDF]
Transactions of the American Mathematical Society, 2015 In 1982 Macdonald published his now famous constant term conjectures for classical root systems. This paper begins with the almost trivial observation that Macdonald’s constant term identities admit an extra set of free parameters, thereby linking them to Poincaré polynomials.
Károlyi, Gyula +2 more
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Journal of Mathematics, 2022 In the paper, we study the upper bound estimation of the Lebesgue constant of the bivariate Lagrange interpolation polynomial based on the common zeros of product Chebyshev polynomials of the second kind on the square −1,12. And, we prove that the growth
Juan Liu, Laiyi Zhu
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Morgan-Voyce Polynomial Approach for Quaternionic Space Curves of Constant Width
Foundations of Computing and Decision Sciences, 2021 The curves of constant width are special curves used in engineering, architecture and technology. In the literature, these curves are considered according to different roofs in different spaces and some integral characterizations of these curves are ...
Aydin Tuba Ağirman +2 more
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Computing a Solution of Feigenbaum's Functional Equation in Polynomial Time [PDF]
Logical Methods in Computer Science, 2014 Lanford has shown that Feigenbaum's functional equation has an analytic solution. We show that this solution is a polynomial time computable function. This implies in particular that the so-called first Feigenbaum constant is a polynomial time computable
Peter Hertling, Christoph Spandl
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Sharp values for the constants in the polynomial Bohnenblust-Hille inequality [PDF]
, 2015 In this paper we prove that the complex polynomial Bohnenblust-Hille constant for $2$-homogeneous polynomials in ${\mathbb C}^2$ is exactly $\sqrt[4]{\frac{3}{2}}$.
Jiménez-Rodríguez, P. +3 more
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On a Linear Program for Minimum-Weight Triangulation [PDF]
, 2013 Minimum-weight triangulation (MWT) is NP-hard. It has a polynomial-time constant-factor approximation algorithm, and a variety of effective polynomial- time heuristics that, for many instances, can find the exact MWT.
Arman Yousefi +15 more
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Constant Terms of Near-Dyson Polynomials [PDF]
The Electronic Journal of Combinatorics, 2018 We formulate and prove a formula for the constant term for a certain class of Laurent polynomials, which include the Dyson conjecture and its generalizations by Bressoud and Goulden. Our method is explicit Combinatorial Nullstellensatz.
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