Results 221 to 230 of about 32,458 (230)

Monotonicity Properties of the Hurwitz Zeta Function

Canadian Mathematical Bulletin, 2005
AbstractLetbe the Hurwitz zeta function and letwhereα, β> 1 anda,b> 0 are real numbers. We prove: (i) The functionQis decreasing on (0, ∞) iffαa−βb≥ max(a−b, 0). (ii)Qis increasing on (0, ∞) iffαa−βb≤ min(a−b, 0). An application of part (i) reveals that for allx> 0 the functions⟼ [(s− 1)ζ(s,x)]1/(s−1)is decreasing on (1, ∞).
openaire   +2 more sources

On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Kernel of Hyperbolic Secant Function Related to the Hurwitz Zeta Function

, 2020
M. Rassias, Bicheng Yang, Andrei M. Raigorodskii   +2 more
semanticscholar   +1 more source

Universality of the Hurwitz zeta-function in short intervals

Boletín de la Sociedad Matematica Mexicana
Antanas Laurinčikas
semanticscholar   +1 more source

On a Hilbert-Type Integral Inequality Related to the Extended Hurwitz Zeta Function in the Whole Plane

Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, 2018
M. Rassias, Bicheng Yang
semanticscholar   +1 more source

A note on convexity properties of functions related to the Hurwitz zeta and alternating Hurwitz zeta function

, 2020
D. Cvijovic
semanticscholar   +1 more source

Universality of the Periodic Hurwitz Zeta-Function with Rational Parameter

Siberian mathematical journal, 2018
A. Laurinčikas, R. Macaitienė, D. Mochov, D. Šiaučiūnas   +3 more
semanticscholar   +1 more source

Remainder Padé Approximants for the Hurwitz Zeta Function

Results in Mathematics, 2017
M. Prévost
semanticscholar   +1 more source

On a Few Equivalent Statements of a Hilbert-Type Integral Inequality in the Whole Plane with the Hurwitz Zeta Function

Analysis and Operator Theory, 2019
T. Rassias, Bicheng Yang
semanticscholar   +1 more source

A NOTE ON THE HURWITZ ZETA FUNCTION

Far East Journal of Mathematical Sciences (FJMS), 2017
openaire   +2 more sources

On Discrete Universality of the Hurwitz Zeta-Function

, 2017
A. Laurinčikas
semanticscholar   +1 more source