Inequalities for exponential sums Academic Article

abstract

• 2017 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd. We study the classes (Equation presented) and (Equation presented) A highlight of this paper is the asymptotically sharp inequality (Equation presented) where n converges to 0 rapidly as n tends to 00. The inequality (Equation presented) is also established. Our results improve an old result due to Halsz and a recent result due to Ks. We prove several other related order-sharp results in this paper. Bibliography: 33 titles.

authors

• Erdelyi, Tamas

published proceedings

• SBORNIK MATHEMATICS

altmetric score

• 0.75

author list (cited authors)

• Erdelyi, T.

citation count

• 2

complete list of authors

• Erdelyi, T

publication date

• March 2017

publisher

• IOP Publishing  Publisher

published in

• Sbornik: Mathematics  Journal

keywords

• Bernstein- And Markov-type Inequalities
• Exponential Sums
• Infinite-finite Range Inequalities
• Nikol'skii-

Digital Object Identifier (DOI)

• 10.1070/SM8670

start page

• 433

end page

• 464

volume

• 208

issue

• 3

URL

• http://dx.doi.org/10.1070/sm8670

user-defined tag

• 10 Reduced Inequalities