Entire Functions that have the Smallest Deviation from Zero with Respect to the Uniform Norm with a Weight

Standard

Entire Functions that have the Smallest Deviation from Zero with Respect to the Uniform Norm with a Weight. / Gladkaya, A. V.

In: Journal of Mathematical Sciences (United States), Vol. 202, No. 4, 10.2014, p. 546-552.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{3fc05ad98a794af69dc309432a7581be,

title = "Entire Functions that have the Smallest Deviation from Zero with Respect to the Uniform Norm with a Weight",

abstract = "P. L. Chebyshev solved the problem of finding a polynomial of degree n with leading coefficient one that has the least deviation from zero with respect to the maximum norm. In the case of entire functions, a similar problem can be solved for some classes. We find an entire function of exponential type σ such that(formula presented)for any nonzero entire function Q of type less than σ of class C.",

author = "Gladkaya, {A. V.}",

note = "Publisher Copyright: {\textcopyright} 2014, Springer Science+Business Media New York.",

year = "2014",

month = oct,

doi = "10.1007/s10958-014-2061-2",

language = "English",

volume = "202",

pages = "546--552",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "4",

}

RIS

TY - JOUR

T1 - Entire Functions that have the Smallest Deviation from Zero with Respect to the Uniform Norm with a Weight

AU - Gladkaya, A. V.

PY - 2014/10

Y1 - 2014/10

N2 - P. L. Chebyshev solved the problem of finding a polynomial of degree n with leading coefficient one that has the least deviation from zero with respect to the maximum norm. In the case of entire functions, a similar problem can be solved for some classes. We find an entire function of exponential type σ such that(formula presented)for any nonzero entire function Q of type less than σ of class C.

AB - P. L. Chebyshev solved the problem of finding a polynomial of degree n with leading coefficient one that has the least deviation from zero with respect to the maximum norm. In the case of entire functions, a similar problem can be solved for some classes. We find an entire function of exponential type σ such that(formula presented)for any nonzero entire function Q of type less than σ of class C.

UR - http://www.scopus.com/inward/record.url?scp=84922079197&partnerID=8YFLogxK

U2 - 10.1007/s10958-014-2061-2

DO - 10.1007/s10958-014-2061-2

M3 - Article

AN - SCOPUS:84922079197

VL - 202

SP - 546

EP - 552

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 86670401