Results 271 to 280 of about 34,257 (290)

Coefficient Inequalities for Bloch Functions

Lobachevskii Journal of Mathematics, 2019
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Kayumov I., Wirths K.
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Basic coefficient inequalities

2009
There are many books that systematically present coefficient problems in geometric function theory. We refer the reader to the excellent monographs by Goluzin [70], Goodman [73], Hayman [78], Pommerenke [128], and Duren [60]. In this chapter we only mention a few classical results on coefficients which are closely connected with the topic of this book.
Avkhadiev F., Wirths K.
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Zero and Coefficient Inequality: 11008

The American Mathematical Monthly, 2005
LHGK, which forces G, H, K, and L to be concyclic. Next we prove assertion (c) assuming that T is the midpoint of arc BC. Since K is the midpoint of BC, E is the midpoint of AB, and G is the projection of A on BC, the Euler (nine-point) circle of ABC is the circle through E, G, and K. Let U be the midpoint of arc GK of this circle.
José Luis Díaz-Barrero, Juan José Egozcue, ArtÅ«ras Dubickas   +2 more
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ON CERTAIN INEQUALITIES FOR FOURIER COEFFICIENTS

SUT Journal of Mathematics, 1998
The paper contains an interesting historical survey of results on several fundamental inequalities including the Hausdorff-Young inequality for the Fourier transform and its sharpness, or the Carlson inequalities of both discrete and integral types.
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Generalized Grunsky coefficients and inequalities

Israel Journal of Mathematics, 1987
Let \(\alpha =\{\alpha_ n\}^{\infty}_{n=1}\) be a sequence of complex numbers and \[ \alpha (w)^{\ell}=(\sum^{\infty}_{n=1}\alpha_ nw^ n)^{\ell}=\sum^{\infty}_{k=1}A_{k,\ell}(\alpha)w^ k, \] \(A_{k,\ell}(\alpha)\) are the Bell polynomials. In this article the author investigates the connection between the Bell polynomials and some invariants introduced
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Explicit inequalities for wavelet coefficients

Applicable Analysis, 2001
A fundamental principal for many applications of wavelets is that the size of the wavelet coefficients indicates the local smoothness of the represented function f. We show how explicit and best possible a priori bounds for wavelel coefficients can be obtained for any wavelet from the coefficients of its two scale relation.
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ASYMPTOTIC INEQUALITIES FOR POLYNOMIALS WITH RESTRICTED COEFFICIENTS

Analysis, 1996
By Bernstein's inequality, if \(p(z)=\sum^n_{k=0} a_kz^k\), then \(|p' |\leq|p |\), where \(|p |= \sup_{|z|\leq 1} |p(z)|\), with equality if and only if \(p(z)= a_nz^n\). Given \(n,k\) \((0\leq k\leq n-1)\), let \(c_k(n)\) be the best possible constant such that \(|p'|+c_k(n)|a_k|\leq n|p|\) for all polynomials \(p\) of degree at most \(n\).
Frappier, Clément, Qazi, Mohammed A.
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An Inequality on Binomial Coefficients

1978
Publisher Summary The chapter discusses an inequality on binomial coefficients. The result obtained in this chapter is used to establish a result on edge-coloring of certain hypergraphs. Part of the theorem is known to Erdos, who also suggested a line of proof to establish this result for large n.
Ellis L. Johnson, Donald Newman, Kenneth Winston   +2 more
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On Linear Inequality Systems with Smooth Coefficients

Journal of Optimization Theory and Applications, 2005
The authors consider linear inequality systems of the form \(\sigma=\{a_t\,x\geq b_t,\;t\in T\}\), where \(T\subset\mathbb{R}\) is compact, and \(b_t=b(t)\in\mathbb{R}\), \(a_t=a(t)=(a_1(t),\dots,a_n(t))\in\mathbb{R}^n\) are polynomial (resp. analytical) functions.
Goberna, M. A., Hernández, L., Todorov, M. I.   +2 more
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