Web30 HORST ALZER AND MAN KAM KWONG The sign of equality holds if and only if n= 1 and x= 4arccos(p 3=8). Over the years, inequalities for trigonometric sums attracted (and still attract) the attention of numerous researchers. Among the mathematicians, who worked in this eld, we nd well-known names like Fej er, Szeg o, Tur an, WebA NEW REFINEMENT OF YOUNG'S INEQUALITY Published online by Cambridge University Press: 17 May 2007 Horst Alzer and Stamatis Koumandos Article Metrics Save PDF Share …
New inequalities of Fejér–Jackson-type By HORST ALZER …
WebJun 1, 1999 · H. Alzer A refinement of the Cauchy-Schwarz inequality J. Math. Anal. Appl., 168 ( 1992), pp. 596 - 604 View PDF View article View in Scopus Google Scholar 2 Liu … WebContact & Support. Business Office 905 W. Main Street Suite 18B Durham, NC 27701 USA. Help Contact Us the game paper grade please
TWO TRIGONOMETRIC IDENTITIES - Trinity College Dublin
WebHorst Alzer { Graham Jameson Abstract { We present some inequalities and a concavity property of the digamma function 0= =, where denotes Euler’s gamma function. In particular, we o er a new characterization of Euler’s constant = 0:57721:::. We prove that is the minimum of the harmonic mean of (x) and (1=x) for x>0. WebOur main result is the following refinement of the classical Fejér-Jackson inequality: For all integers n ⩾ 2 and real numbers x ∈ (0,π) we have with the best possible constant factor α = 1. This improves an inequality due to Turán. We complement, extend, and sharpen some known inequalities for sine sums. ... Horst Alzer. The University ... WebNew articles related to this author's research. Email address for updates. Done. ... Horst Alzer. Mathematician, Waldbrol. No verified email. ... H Alzer, D Karayannakis, HM Srivastava. Journal of Mathematical Analysis and Applications 320 … the game panda pop