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An integral formula and its applications
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Abstract
In this paper, we obtain an integral formula relating the measureof great spheres S^{n-2} and arc length of a curve on the unitsphere S^{n-1}. As an application of the formula, we develop ageometric inequality for a spherical curve and prove generalizedversion of Fenchel's theorem in R^n.
관련 논문AI추천
Note on Cahen's integral formulas최준상대한수학회 · 대한수학회논문집2002 · 제17권 제1호On some integral inequalities with iterated integrals김영호, 조열제, Sever S. Dragomir대한수학회 · 대한수학회지2006 · 제43권 제3호The Generalised Integration by Parts Formula for Appell Sequences and Related ResultsS. S. Dragomir대한수학회 · 대한수학회논문집2004 · 제19권 제1호Some Generalizations of Beukers' IntegralsPetros Hadjicostas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제2호Some Applications of Certain Integral OperatorJin-Lin Liu경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제2호On Finite Integrals Involving JacobiPolynomials and the -functionRajendra P. Sharma경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제3호
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