New Steffensen Type Inequalities Involving Convex Functions

被引：4
作者：
Pecaric, Josip [1 ]
Kalamir, Ksenija Smoljak [1 ]
机构：
[1] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia
来源：
RESULTS IN MATHEMATICS | 2015年 / 67卷 / 1-2期
关键词：
Steffensen's inequality; weaker conditions; convex functions; n-exponential convexity; Stolarsky type means;
D O I：
10.1007/s00025-014-0406-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove weaker conditions for Steffensen type inequalities obtained by Masjed-Jamei, Qi and Srivastava. Moreover, we extend these inequalities to the class of convex functions. Further, we give an application of new inequalities to obtain Stolarsky type means.
引用
收藏
页码：217 / 234
页数：18
相关论文
共 12 条
  • [1] Akhiezer N. I., 1965, The Classical Moment Problem and Some Related Questions in Analysis
  • [2] Bernstein S, 1929, ACTA MATH-DJURSHOLM, V52, P1
  • [3] ON A CLASS OF PUNCTUAL CONVEX FUNCTIONS
    Florea, Aurelia
    Paltanea, Eugen
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (01): : 389 - 399
  • [4] Jaksetic J, 2013, J CONVEX ANAL, V20, P181
  • [5] Generalizations of some classical inequalities via a special functional property
    Masjed-Jamei, Mohammad
    Qi, Feng
    Srivastava, H. M.
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2010, 21 (05) : 327 - 336
  • [6] Pecaric J., 2014, MATH INEQUA IN PRESS
  • [7] PECARIC J., 1979, U BEOGRAD PUBL EL MF, V634-677, P97
  • [8] Pecaric J. E., 1992, Mathematics in Science and Engineering, V187
  • [9] Pecaric J, 2012, ANN UNIV CRAIOVA-MAT, V39, P65
  • [10] Steffensen JF, 1918, SKAND AKTUARIETIDSKR, V1, P82
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