On Generalization of Fejer Type Inequalities

Authors

  • Mohsen Rostamian Delavar Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord
  • M. De La Sen Institute of Research and Development of Processes, University of Basque Country, Campus of Leioa (Bizkaia)- Aptdo. 644 - Bilbao, Bilbao, 48080

DOI:

https://doi.org/10.26713/cma.v8i1.450

Keywords:

\(\eta\)-convex function, Hermite-Hadamard-Fejér inequality, Trapezoid and mid-point type inequality

Abstract

Some generalizations of Fejér type inequalities related to \(\eta\)-convex functions are investigated. Also applications for trapezoid and mid-point type inequalities are given.

Downloads

Download data is not yet available.

References

M. Bombardelli and S. Varosanec, Properties of h-convex functions related to the Hermite-Hadamard-Fejér inequalities, Comput. Math. Appl. 58 (9) (2009), 1869 – 1877.

S. S. Dragomir and R. P. Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. Lett. 11 (1998), 91 – 95.

M. Eshaghi Gordji, S. S. Dragomir and M. Rostamian Delavar, An inequality related to (varphi)-convex functions (II), Int. J. Nonlinear Anal. Appl. 6 (2) (2016), 26 – 32.

M. Eshaghi Gordji, M. Rostamian Delavar and M. De La Sen, On '-convex functions, J. Math. Inequal. 10 (1) (2016), 173 – 183.

L. Fejér, íœber die fourierreihen, II, Math. Naturwise. Anz Ungar. Akad. Wiss. 24 (1906), 369 – 390.

S.-R. Hwang, K.-L. Tseng and K.-C. Hsu, Hermite-Hadamard type and Fejér type inequalities for general weights (I), J. Inequal. Appl. 2013: 170, 13 p.

U. S. Kirmaci, Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula, Appl. Math. Comp. 147 (1) (2004), 137 – 146.

B. Micherda and T. Rajba, On Some Hermite-Hadamard-Fejér inequalities for (k,h)-convex function, Math. Inequal. Appl. 4 (2012), 931 – 940.

J. Park, Inequalities of Hermite-Hadamard-Fejér type for convex functions via fractional integrals, International Journal of Mathematical Analysis 8 (59) (2014), 2927 – 2937.

M. Rostamian Delavar and S. S. Dragomir, On (eta)-convexity, Math. Inequal. Appl. 20 (2017), 203 – 216.

K.-L. Tseng, S.-R. Hwang and S. S. Dragomir, Fejér-type inequalities (I), J. Inequal. Appl. 239 (2010), Article ID 531976, 7 p.

G.-S. Yang, Inequalities of Hadamard's type for Lipschitzian mappings, J. Math. Anal. Appl. 260 (2001), 230 – 238.

Downloads

Published

30-06-2017
CITATION

How to Cite

Delavar, M. R., & Sen, M. D. L. (2017). On Generalization of Fejer Type Inequalities. Communications in Mathematics and Applications, 8(1), 31–43. https://doi.org/10.26713/cma.v8i1.450

Issue

Vol. 8 No. 1 (2017)

Section

Research Article

License

Creative Commons Licence 4.0 by  

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.