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Lipschitz函数Hermite-Hadamard型不等式的加强

Strengthen of Hermite-Hadamard type inequality for Lipschitz function
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摘要 考虑由Dragomir引入的一个与Hermite-Hadamard不等式有关的函数。用引入参数求最值的方法,建立了Lipschitz函数的Hermite-Hadamard型不等式,加强了已有的结果。 This article considers a function related to Hermite-Hadamard inequality introduced by Dragomir.Using the method of introducing parameters to find the minumum,Hermite-Hadamard type inequalities for Lipschitz function are established,which strengthens the existing results.
作者 时统业 曾志红 SHI Tong-ye;ZENG Zhi-hong(PLA Naval Command College,Nanjing 211800,China;Editorial Department of Journal,Guangdong University of Education,Guangzhou 510303,China)
出处 《佛山科学技术学院学报(自然科学版)》 CAS 2022年第2期63-68,共6页 Journal of Foshan University(Natural Science Edition)
关键词 Hermite-Hadamard型不等式 LIPSCHITZ函数 加强 Hermite-Hadamard type inequality Lipschitz condition strengthen
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  • 1Yang Gousheng, Hong Mingchung. A note on Hadamard' s inequality[J]. Tam Kang J Math, 1997,28:33 -37.
  • 2Gill P M, Pearee C E, Pecaric J E. Hadamard's inequality for r- convex functions[ J]. J Math Anal Appl, 1997,215: 461 -470.
  • 3Dragomir S S. Two mappings in connection to Hadamard' s inequalities[ J]. J Math Anal Appl, 1992,167:49-56.
  • 4Yang G S, Tseng K L. On certain integral inequalities related to Hermite - Hadamard inequalities[ J ]. J Math Anal Appl, 1999, 239 : 180 - 187.
  • 5Dragomir S S, Cho Y J, Kim S S. Inequalities of Hadamard' s type for Lipsehitian mappings and their applications [ J ]. J Math Anal Appl, 2000, 245 : 489 -501.
  • 6Mitrinovic D S, Lackovic I B. Hermite and convexity[ J ]. Aequationes Mathematicae, 1985,28:229 - 232.
  • 7HADAMARD J. Etude sur les proprietes des fonctions entieres et en particulier d' uneFonction consideree par Riemann[ J]. J Math Pures Appl,1893 ,58 :171 -215.
  • 8ZABANDAN G. A new refinement of the HERNITE-HADAMARD inequality for convex function [ J ]. J Math Pures Appl, 2009,10(2) :45.
  • 9DRAGOMIR S S, CHO Y J, KIM S S. Inequalities of Hadamard' s type for Lipschitzian mappings and their applications [ J]. J Math Anal Appl,2000,245:489- 501.
  • 10WANG L C. On new inequalities of Hadamard-type for Lipschitzian mappings and their applications[ J]. J Inequal Pure Appl Math,2007,8( 1 ) :30.

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