Access the full text.
Sign up today, get DeepDyve free for 14 days.
WL Bynum (1976)
Weak parallelogram law for Banach spacesCan. Math. Bull., 19
E. Ifantis, C. Kouris (1977)
Lower bounds for the zeros of analytic functionsNumerische Mathematik, 27
R. Cheng, W. Ross (2015)
Weak parallelogram laws on banach spaces and applications to predictionPeriodica Mathematica Hungarica, 71
R. Cheng, A. Miamee, M. Pourahmadi (2000)
Regularity and Minimality of Infinite Variance ProcessesJournal of Theoretical Probability, 13
P. Duren (1970)
Theory of H[p] spaces
Shanhe Wu (2008)
A new sharpened and generalized version of Hölder's inequality and its applicationsAppl. Math. Comput., 197
R. Cheng, Charles Harris (2013)
Duality of the weak parallelogram laws on Banach spacesJournal of Mathematical Analysis and Applications, 404
R. James (1947)
Orthogonality and linear functionals in normed linear spacesTransactions of the American Mathematical Society, 61
R. Cheng, Charles Harris (2015)
Mixed‐Norm Spaces and Prediction of SαS Moving AveragesJournal of Time Series Analysis, 36
N. Carothers (2004)
A short course on Banach space theory
Q. Rahman, G. Schmeisser (2002)
Analytic theory of polynomials
F. Terán, F. Dopico, J. Pérez (2014)
New bounds for roots of polynomials based on Fiedler companion matricesLinear Algebra and its Applications, 451
R. Cheng, A. Miamee, M. Pourahmadi (2003)
On the geometry of Lp (μ) with applications to infinite variance processesJournal of the Australian Mathematical Society, 74
R Cheng, AG Miamee, M Pourahmadi (2003)
On the geometry of $$L^p(\mu )$$ L p ( μ ) with applications to infinite variance processesJ. Aust. Math. Soc., 74
E. Ifantis, C. Kouris (1973)
A Hilbert Space Approach to the Localization Problem of the Roots of Analytic FunctionsIndiana University Mathematics Journal, 23
J. Alonso, H. Martini, Senlin Wu (2012)
On Birkhoff orthogonality and isosceles orthogonality in normed linear spacesAequationes mathematicae, 83
SR Garcia, J Mashreghi, W Ross (2016)
Introduction to Model Spaces and Their Operators. Cambridge Studies in Advanced Mathematics
R. Cheng, W. Ross (2016)
An inner–outer factorization in ℓp with applications to ARMA processesJournal of Mathematical Analysis and Applications, 437
W. Bynum, J. Drew (1972)
A Weak Parallelogram Law for l pAmerican Mathematical Monthly, 79
B. Kalantari (2004)
An infinite family of bounds on zeros of analytic functions and relationship to Smale's boundMath. Comput., 74
S. Smale (1986)
Newton’s Method Estimates from Data at One Point
R Cheng, C Harris (2015)
Mixed norm spaces and prediction of S $$\alpha $$ α S moving averagesJ. Time Ser. Anal., 36
R Cheng, WT Ross (2016)
An inner-outer factorization in $$\ell ^p$$ ℓ p with applications to ARMA processesJ. Math. Anal. Appl., 437
PL Duren (1970)
Theory of $$H^{p}$$ H p Spaces. Pure and Applied Mathematics
S. Garcia, J. Mashreghi, W. Ross (2016)
Introduction to Model Spaces and their Operators
A. Miamee, M. Pourahmadi (1988)
Wold decomposition, prediction and parameterization of stationary processes with infinite varianceProbability Theory and Related Fields, 79
NL Carothers (2005)
A Short Course on Banach Space Theory. London Mathematical Society Student Texts
S. Hsu, Feng-Chi Cheng (2014)
On the infinite families of zero bounds of complex polynomialsJ. Comput. Appl. Math., 256
M. Marden (1970)
Geometry of Polynomials
R. Ewing, Kenneth Gross, C. Martin (2011)
The Merging of Disciplines: New Directions in Pure, Applied, and Computational Mathematics
S. Cambanis, C. Hardin, A. Weron (1988)
Innovations and Wold decompositions of stable sequencesProbability Theory and Related Fields, 79
Bounds are obtained for the zeros of an analytic function on a disk in terms of the Taylor coefficients of the function. These results are derived using the notion of Birkhoff–James orthogonality in the sequence space $$\ell ^p$$ ℓ p with $$p \in (1, \infty )$$ p ∈ ( 1 , ∞ ) , along with an associated Pythagorean theorem. It is shown that these methods are able to reproduce, and in some cases sharpen, some classical bounds for the roots of a polynomial.
Computational Methods and Function Theory – Springer Journals
Published: Jan 27, 2017
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.