Results 41 to 50 of about 499 (64)
An extension of Turán's inequality
Let pm(x) = P (λ) m (x)/P (λ) m (1) be the m -th ultraspherical polynomial normalized by pm(1) = 1 . We prove the inequality |x|pn(x)− pn−1(x)pn+1(x) 0 , x ∈ [−1,1] , for −1/2 < λ 1/2 .
G. Nikolov, V. Pillwein
semanticscholar +1 more source
A New Characterization of Weighted Peetre K-Functionals (II) [PDF]
2000 Mathematics Subject Classification: 46B70, 41A25, 41A17, 26D10. ∗Part of the results were reported at the Conference “Pioneers of Bulgarian Mathematics”, Sofia, 2006.Certain types of weighted Peetre K-functionals are characterized by means of the ...
Draganov, Borislav, Ivanov, Kamen
core
On the closure of the discrete spectrum of nuclearly perturbed operators
Let Z0 be a bounded operator in a Banach space X with purely essential spectrum and K a nuclear operator in X . Using methods of complex analysis we study the set of accumulation points of the discrete spectrum of the operator Z := Z0 + K .
Franz Hanauska
semanticscholar +1 more source
Lp mean estimates for an operator preserving inequalities between polynomials [PDF]
If $P(z)$ be a polynomial of degree at most $n$ which does not vanish in $|z| < 1$, it was recently formulated by Shah and Liman \cite[\textit{Integral estimates for the family of $B$-operators, Operators and Matrices,} \textbf{5}(2011), 79 - 87]{wl ...
For P Pn, N. A. Rather, Suhail Gulzar
core
An estimate for derivative of the de la Vallee Poussin mean [PDF]
In this paper, we discuss derivative of the de la Vallee Poussin mean for exponential weights on real line. When we lead an inequality, an estimate for the Christoffel function plays an important role.Comment: 18 ...
Itoh, Kentaro +2 more
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M\"untz spaces and Remez inequalities
Two relatively long-standing conjectures concerning M\"untz polynomials are resolved.
Borwein, Peter, Erdélyi, Tamás
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Richards's curve induced Banach space valued multivariate neural network approximation. [PDF]
Anastassiou GA, Karateke S.
europepmc +1 more source
Richards's curve induced Banach space valued ordinary and fractional neural network approximation. [PDF]
Anastassiou GA, Karateke S.
europepmc +1 more source
New Bernstein type inequalities for polynomials on ellipses [PDF]
New and sharp estimates are derived for the growth in the complex plane of polynomials known to have a curved majorant on a given ellipse. These so-called Bernstein type inequalities are closely connected with certain constrained Chebyshev approximation ...
Fischer, Bernd, Freund, Roland
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Ostrowski type inequalities for sets and functions of bounded variation. [PDF]
Kovalenko OV.
europepmc +1 more source

