On same refinements of companions Fejér's

• Latif, Muhammar Amer ^[1]
  1. [1] University of Hail

     University of Hail

     Arabia Saudí

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 31, Nº. 4, 2012, págs. 309-332
• Idioma: inglés
• DOI: 10.4067/S0716-09172012000400001
• Enlaces
  • Texto completo
• Resumen

  • In this paper some companions of Fejer’s inequality for superquadratic functions are given, we also get refinements of some known results proved in [18].

• Referencias bibliográficas
  • Citas [1] S. Abramovich, S. Banic, M. Matic, J. Pecaric, Jensen—Steffensen’s and‏ related inequalities for superquadratic functions, Math....
  • [2] S. Abramovich, J. Baric, J. Pecaric, Fejer and Hermite-Hadamard type‏ inequalities for superquadratic functions, Math. J. Anal. Appl.,...
  • [3] S. Abramovich, G. Jameson, G. Sinnamon, Refining Jensen’s inequality, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 47 (95), pp. 3—14,‏...
  • [4] S. Banic, J. Pecaric, S. Varosanec, Superquadratic functions and refinements of some classical inequalities, J. Korean Math. Soc. 45,...
  • [5] S. Banic, Superquadratic functions, PhD thesis, Zagreb (in Croatian),‏ (2007).‏
  • [6] S. S. Dragomir, Two mappings in connection to Hadamard’s inequalities, J. Math. Anal. Appl., 167, pp. 49—56, (1992).‏
  • [7] S. S. Dragomir, Further properties of some mappings associated with‏ Hermite-Hadamard inequalities, Tamkang. J. Math., 34 (1), pp. 45—57,‏...
  • [8] S. S. Dragomir, Y.J. Cho and S.S. Kim, Inequalities of Hadamard’s‏ type for Lipschitzian mappings and their applications, J. Math. Anal.‏...
  • [9] S. S. Dragomir, D.S. Milosevic and J. Sandor, On some refinements of‏ Hadamard’s inequalities and applications, Univ. Belgrad. Publ. Elek.‏...
  • [10] L. Fejer, Uber die Fourierreihen, II, Math. Naturwiss. Anz Ungar.‏ Akad. Wiss., 24, pp. 369—390, (1906). (In Hungarian).‏
  • [11] Ming-In Ho, Fejer inequalities for Wright-convex functions, JIPAM. J.‏ Inequal. Pure Appl. Math. 8 (1), (2007), article 9.‏
  • [12] J. Hadamard, Etude sur les proprietes des fonctions entieres en particulier d’une function consideree par Riemann J. Math. Pures and...
  • [13] M. A. Latif, On some refinements of Fejer type inequalities via superquadratic functions.(to appear)‏
  • [14] M. A. Latif, On some new Fejer-type inequalities for superquadratic‏ functions. (to appear)‏
  • [15] K. L. Tseng, S. R. Hwang and S.S. Dragomir, On some new inequalities‏ of Hermite-Hadamard- Fejer type involving convex functions, Demonstratio...
  • [16] K. L. Tseng, S. R. Hwang and S.S. Dragomir, Fejer-type Inequalities‏ (I), (Submitted) Preprint RGMIA Res. Rep. Coll. 12 (2009), No.4,‏...
  • [17] K. L. Tseng, S.R. Hwang and S.S. Dragomir, Fejer-type Inequalities‏ (II), (Submitted) Preprint RGMIA‏ Res. Rep. Coll. 12 (2009), Supplement,...
  • [18] K. L. Tseng, S. R. Hwang and S.S. Dragomir, Some companions of‏ Fejer’s inequality for convex functions, (Submitted) Preprint RGMIA‏...
  • [19] G.S. Yang and K.L. Tseng, Inequalities of Hermite-Hadamard-Fejer‏ type for convex functions and Lipschitzian functions, Taiwanese J.‏...