M. Riesz-Schur-type inequalities for entire functions of exponential type

abstract

• 2015 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd. We prove a general M. Riesz-Schur-type inequality for entire functions of exponential type. If f and Q are two functions of exponential types > 0 and 0, respectively, and if Q is real-valued and the real zeros of Q, not counting multiplicities, are bounded away from each other, then (Equation presented) We apply this inequality to the weights Q(x)def = sin(x) and Q(x)def= x and describe the extremal functions in the corresponding inequalities.

authors

• Erdelyi, Tamas

published proceedings

• SBORNIK MATHEMATICS

author list (cited authors)

• Erdelyi, T., Ganzburg, M. I., & Nevai, P.

citation count

• 1

complete list of authors

• Erdelyi, T||Ganzburg, MI||Nevai, P

publication date

• January 2015

publisher

• IOP Publishing  Publisher

published in

• Sbornik: Mathematics  Journal

keywords

• Duffin-schaeffer Inequality
• Entire Functions Of Exponential Type
• M. Riesz-schur-type Inequalities

Digital Object Identifier (DOI)

• 10.1070/SM2015v206n01ABEH004444

start page

• 24

end page

• 32

volume

• 206

issue

• 1

URL

• http://dx.doi.org/10.1070/sm2015v206n01abeh004444

user-defined tag

• 10 Reduced Inequalities