Search Results - Real functions Polynomials, rational functions

Hardy–Littlewood and Ulyanov inequalities by Kolomoitsev, Yurii, Tikhonov, Sergey

“…We give the full solution of the following problem: obtain sharp inequalities between the moduli of smoothness The main tool is the new…”
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On the q-Bernstein polynomials of rational functions with real poles by Ostrovska, Sofiya, Özban, Ahmet Yaşar

“…(f;x) attached to rational functions in the case q>1. The problem reduces to that for the partial fractions (x−α)−j, j∈N…”
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Polynomials with rational generating functions and real zeros by Forgács, Tamás, Tran, Khang

“…This paper investigates the location of the zeros of a sequence of polynomials generated by a rational function with a binomial-type denominator…”
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A Novel Method of Rational Function Approximation Using Orthogonalized Polynomials with Real Coefficients by Ma, Andrew Yong-Li

“… In the field of signal integrity in particular, a specific type of curve fitting, called rational function approximation, can be used as an intermediary step in creating an equivalent circuit model…”
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Modern trends in constructive function theory : Constructive Functions 2014, conference in honor of Ed Saff's 70th birthday, May 26-30, 2014, Vanderbilt University, Nashville, Tennessee by Hardin, Douglas Patten, Lubinsky, Doron Shaul, Simanek, Brian Z., Constructive Functions (Conference and School)

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Characterizing Polynomial Time Computability of Rational and Real Functions by Gomaa, Walid

“… The first part investigates polynomial time computability of rational functions and the role of continuity in such computation…”
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Geometry and topology of submanifolds and currents : 2013 Midwest Geometry Conference (MGC XIX), October 19, 2013, Oklahoma State University, Stillwater, OK : 2012 Midwest Geometry Conference (MGC XVIII), May 12-13, 2012, University of Oklahoma, Norman, OK by Midwest Geometry Conference, Li, Weiping, Wei, Shihshu Walter

“… On the topology side, topics include Plateau problems, Voevodsky's motivic cohomology, Reidemeister zeta function and systolic inequality, and freedom in 2- and 3-dimensional manifolds…”
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SOS Polynomials and Matrix Representations of Rational Real Functions by Bessmertnyi, M F

“… It is proved that numerators of partial derivative of rational real function from the Nevanlinna class are SOS polynomials…”
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Rational functions with positive Schwarzian derivative by Ryals, Brian

“… We prove that rational functions whose two polynomials have real, simple, and interlaced zeros have positive Schwarzian…”
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Polynomials with rational generating functions and real zeros by gacs, Tamas, Tran, Khang

“…This paper investigates the location of the zeros of a sequence of polynomials generated by a rational function with a binomial-type denominator…”
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Iterated Resultants and Rational Functions in Real Quantifier Elimination by Davenport, James H., England, Matthew, McCallum, Scott, Uncu, Ali K.

“…), and one of its core applications, Real Quantifier Elimination (QE). These topics are at the heart of symbolic computation and were first implemented in computer…”
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Hurwitz rational functions by Barkovsky, Yury, Tyaglov, Mikhail

“…A generalization of Hurwitz stable polynomials to real rational functions is considered…”
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Binomial polynomials mimicking Riemann's zeta function by Coffey, M. W., Lettington, M. C.

“… . Normalization yields the rational function whose denominator has singularities on the negative real axis…”
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Generalized Chebyshev Function of Arbitrary Order With Real-Frequency Zero Pairs in an Explicit Rational Polynomial Expression by Kuo, Jen-Tsai, Wang, Chun-Chin, Lin, Chun-Hung, Williams, Philip A.

“…Generalized Chebyshev functions of an arbitrary order with up to three real-frequency zero pairs are derived in an explicit rational polynomial expression…”
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Exact certification in global polynomial optimization via sums-of-squares of rational functions with rational coefficients by Kaltofen, Erich L., Li, Bin, Yang, Zhengfeng, Zhi, Lihong

“…We present a hybrid symbolic-numeric algorithm for certifying a polynomial or rational function with rational coefficients to be non-negative for all real values of the variables by computing…”
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Orthogonal rational approximation of transfer functions for high‐frequency circuits by Ma, Andrew, Engin, Arif Ege

“…‐frequency circuits. In rational function approximation, the unknown denominator polynomial of the model results in a nonlinear problem, which can be…”
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Maximal univalent disks of real rational functions and Hermite-Biehler polynomials by Kostov, V, Shapiro, B, Tyaglov, M

“… if s=p+iq where p and q are real polynomials of degree k and k-1 resp. with all real, simple and interlacing roots, and q has a negative leading coefficient…”
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Overlapping of Lévai’s and Milson’s e-Tangent-Polynomial Potentials along Symmetric Curves by Natanson, Gregory

“…–Liouville equations (RCSLEs) with even density functions which are exactly solvable via Jacobi polynomials in a real or accordingly imaginary argument…”
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Routing Functions for Parameter Space Decomposition to Describe Stability Landscapes of Ecological Models by Cummings, Joseph, Dahlin, Kyle J.-M., Gross, Elizabeth, Hauenstein, Jonathan D.

“… or rational rate functions. Using tools from real algebraic geometry, we characterize parameter regions associated with steady-state feasibility and stability via three key boundaries…”
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Globally trace-positive noncommutative polynomials and the unbounded tracial moment problem by Klep, Igor, Scheiderer, Claus, Volčič, Jurij

“… to Hilbert’s 17th problem in real algebraic geometry, trace-positive nc polynomials are shown to be weakly sums of hermitian squares and commutators of regular nc rational functions…”
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