Matches in SemOpenAlex for { <https://semopenalex.org/work/W2953246816> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W2953246816 abstract "In 1935, P. Turan proved that $$ S_{n,a}(x)= sum_{j=1}^n{n+a-jchoose n-j} sin(jx)>0 quad{(n,ainmathbf{N}; 0<x<pi).} $$ We present various related inequalities. Among others, we show that the refinements $$ S_{2n-1,a}(x)geq sin(x) quadmbox{and} quad{S_{2n,a}(x)geq 2sin(x)(1+cos(x))} $$ are valid for all integers $ngeq 1$ and real numbers $ageq 1$ and $xin(0,pi)$. Moreover, we apply our theorems on sine sums to obtain inequalities for the Chebyshev polynomials of the second kind." @default.
- W2953246816 created "2019-06-27" @default.
- W2953246816 creator A5060283579 @default.
- W2953246816 creator A5064131885 @default.
- W2953246816 date "2016-10-18" @default.
- W2953246816 modified "2023-09-23" @default.
- W2953246816 title "On a Sine Polynomial of Turan" @default.
- W2953246816 cites W1987469460 @default.
- W2953246816 cites W2013094309 @default.
- W2953246816 cites W2026232090 @default.
- W2953246816 cites W2041102641 @default.
- W2953246816 cites W2042009857 @default.
- W2953246816 hasPublicationYear "2016" @default.
- W2953246816 type Work @default.
- W2953246816 sameAs 2953246816 @default.
- W2953246816 citedByCount "0" @default.
- W2953246816 crossrefType "posted-content" @default.
- W2953246816 hasAuthorship W2953246816A5060283579 @default.
- W2953246816 hasAuthorship W2953246816A5064131885 @default.
- W2953246816 hasConcept C114614502 @default.
- W2953246816 hasConcept C118615104 @default.
- W2953246816 hasConcept C129785596 @default.
- W2953246816 hasConcept C134306372 @default.
- W2953246816 hasConcept C186661526 @default.
- W2953246816 hasConcept C21424316 @default.
- W2953246816 hasConcept C2524010 @default.
- W2953246816 hasConcept C33923547 @default.
- W2953246816 hasConcept C90119067 @default.
- W2953246816 hasConceptScore W2953246816C114614502 @default.
- W2953246816 hasConceptScore W2953246816C118615104 @default.
- W2953246816 hasConceptScore W2953246816C129785596 @default.
- W2953246816 hasConceptScore W2953246816C134306372 @default.
- W2953246816 hasConceptScore W2953246816C186661526 @default.
- W2953246816 hasConceptScore W2953246816C21424316 @default.
- W2953246816 hasConceptScore W2953246816C2524010 @default.
- W2953246816 hasConceptScore W2953246816C33923547 @default.
- W2953246816 hasConceptScore W2953246816C90119067 @default.
- W2953246816 hasLocation W29532468161 @default.
- W2953246816 hasOpenAccess W2953246816 @default.
- W2953246816 hasPrimaryLocation W29532468161 @default.
- W2953246816 hasRelatedWork W1518316152 @default.
- W2953246816 hasRelatedWork W1978344050 @default.
- W2953246816 hasRelatedWork W1996461971 @default.
- W2953246816 hasRelatedWork W2000003849 @default.
- W2953246816 hasRelatedWork W2051061391 @default.
- W2953246816 hasRelatedWork W2052064708 @default.
- W2953246816 hasRelatedWork W2094236947 @default.
- W2953246816 hasRelatedWork W2107279942 @default.
- W2953246816 hasRelatedWork W2153193647 @default.
- W2953246816 hasRelatedWork W2529959550 @default.
- W2953246816 hasRelatedWork W2532167189 @default.
- W2953246816 hasRelatedWork W2759051383 @default.
- W2953246816 hasRelatedWork W2950698715 @default.
- W2953246816 hasRelatedWork W2952769322 @default.
- W2953246816 hasRelatedWork W2953811324 @default.
- W2953246816 hasRelatedWork W2978266393 @default.
- W2953246816 hasRelatedWork W3106669014 @default.
- W2953246816 hasRelatedWork W3115306033 @default.
- W2953246816 hasRelatedWork W3179342775 @default.
- W2953246816 hasRelatedWork W3200769246 @default.
- W2953246816 isParatext "false" @default.
- W2953246816 isRetracted "false" @default.
- W2953246816 magId "2953246816" @default.
- W2953246816 workType "article" @default.