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协同s-凸函数的Herimite-Hadamard型积分不等式 被引量：3

Integral Inequalities of Herimite-Hadamard Type for Co-ordinated s-Convex Functions
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摘要 凸函数是现代数学中的重要概念,而凸函数的Hermite-Hadamard型不等式在控制理论等领域内有广泛的应用.本文利用新的引理和H?lder不等式给出了第二种意义下的二元协同s-凸函数的一些新的Herimite-Hadamard型不等式. Convex function is an important concept of modern mathematics. Herimite-Hadamard inequality is widely applied in cybernetics theory, and so on. In this paper, a new lemma has been introduced and some new Herimite-Had-amard inequalities concerned with co-ordinated s-convex functions in the second sense have been obtained with the help of Holder inequality.
作者 春玲 双叶
机构地区 内蒙古民族大学数学学院
出处 《内蒙古民族大学学报（自然科学版）》 2013年第6期627-630,共4页 Journal of Inner Mongolia Minzu University：Natural Sciences
基金 内蒙古民族大学科学研究基金资助项目(NMD1225)
关键词 凸性 协同凸性 Herimite-Hadamard型不等式 Convexity co-ordinated convexity Herimite-Hadamard inequality
分类号 O151.25 [理学—基础数学]
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参考文献6

  • 1Pe o ari o J E, Proschan F, Tong Y L. Convex functions, partial ordering and statistical applications[M]. NewYork :Aca- demic Press,1991.
  • 2Dragomir S S, Agarwal R P. Two inequalities for differentiable mappings and applications to special means of real numbers and to Trapezoidal formula[J]. Appl,Math Lett,1998,11 (5):91-95.
  • 3Pearce C M E, Pe o ari o J E. Inequalities for differentiable mappings with applications to special means and quadrature formula[J]. Appl Math Lett,2000,13(2):51-55.
  • 4Zabandan, G. A new refinement of the Hermite-Hadamard inequality for convex functions[J]. JIPAM, 2009,10 (2):45.
  • 5菊花,王妍,宝音特古斯.关于(α,m)-凸函数乘积的Hermite-Hadamard型不等式[J].内蒙古民族大学学报（自然科学版）,2012,27(6):630-633. 被引量：1
  • 6Dragomir SS.On Hadamard' s inequality for convex functions on the co-ordinates in a rectangle from the plane[J]. Taiwan- ese J Math,2001, 5(4):775-788.

二级参考文献6

  • 1S S Dragomir,R P Agarwal. Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula[J].Applied Mathematics Letters,1998,(05):91-95.
  • 2V G Mihean. A generalization of the convexity,seminar on functional equations[A].1993.
  • 3M Klari ǒ iǒ,Bakula,M.E(O)zdemir,J.Pe ǒ ari ǒ.Hadamard. Type inequalities for m-convex and (a,m)-convex functions[J].J Inequal pure & Appl Math,2008,(04):12.
  • 4K L Tseng,S R Hwang,G S Yang. Two inequalities for differentiable mappings and applications to weighted trapezoidal formula,weighted midpoint formula and random variable[J].Math Comp Modell,2011.179-188.
  • 5D Y.Hwang. Some Inequalities for differentiable convex mapping with application to weighted trapezoidal formulae and higher moments of random variables[J].Applied Mathematics and Computation,2011.9598-9605.
  • 6张波,聂凤飞,宝音特古斯.关于(h,m)—凸函数的几个性质[J].内蒙古民族大学学报（自然科学版）,2011,26(6):642-645. 被引量：3

同被引文献16

  • 1李欣.解非对称线性方程组的一种方法[J].黑龙江八一农垦大学学报,2003,15(1):93-96. 被引量：2
  • 2李世杰,赵灵芝,冷岗松.Inequalities for Tφ-convex functions[J].Journal of Shanghai University(English Edition),2007,11(2):142-147. 被引量：1
  • 3LIU Cheng-Shi.Classification of All Single Travelling Wave Solutions to Calogero-Degasperis-Focas Equation[J].Communications in Theoretical Physics,2007,48(4X):601-604. 被引量：16
  • 4Ju Hua,Bo-Yan Xi,Feng Qi.Some new inequalities of Simpson type for strongly s-convex functions. Afrika Matematika .
  • 5S S Dragomir,T M Rassias,Ostrowski.Type Inequalities and Applications in Numerical Integration〔M〕. . 2002
  • 6M E Ozdemir,M Avci,H Kavurmaci.Simpson type inequalities for functions whose third derivatives in the absolute value are s-convex and s-concave functions〔C〕. http://arxiv.org/abs/1112.3865 .
  • 7M Alomari,S Hussain.Two Inequalities of Simpson Type for Quasi-Convex Functions and Applications〔J〕. Journal of Applied Mathematics . 2011
  • 8B T Polyak.Existence theorems and convergence of minimizing sequences in extremum problems with restictions〔J〕. Soviet Mathematics Doklady . 1966
  • 9H. Hudzik,L. Maligranda.??Some remarks ons-convex functions(J)Aequationes Mathematicae . 1994 (1)
  • 10Chun L,Qi F.Inequalities of Simpson type for functions whose third derivatives are extended s-convex functions and applications to means. Journal of Computational Analysis&Applications . 2015

引证文献3

二级引证文献6

内蒙古民族大学学报（自然科学版）
2013年 第6期

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