4.5 Article

Concavity of the complete elliptic integrals of the second kind with respect to Holder means

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 395, Issue 2, Pages 637-642

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2012.05.083

Keywords

Complete elliptic integrals; Holder mean; Concavity

Funding

  1. Natural Science Foundation of China [11071059, 11071069, 11171307]
  2. Natural Science Foundation of Hunan Province [09JJ6003]
  3. Innovation Team Foundation of the Department of Education of Zhejiang Province [T200924]

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In this paper, we establish a necessary and sufficient condition for the concavity of the complete elliptic integrals of the second kind with respect to Holder means. (C) 2012 Elsevier Inc. All rights reserved.

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