Research Article

PERTURBED COMPANION OF OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE OF BOUNDED VARIATION

Volume: 5 Number: 1 April 1, 2017
EN

PERTURBED COMPANION OF OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE OF BOUNDED VARIATION

Abstract

In this paper, some perturbed companions of Ostrowski type integral inequalities for functions whose rst derivatives are of bounded variation are established.

Keywords

References

  1. [1] M. W. Alomari, A Generalization of weighted companion of Ostrowski integral inequality for mappings of bounded variation, RGMIA Research Report Collection, 14(2011), Article 87, 11 pp.
  2. [2] M. W. Alomari and M.A. Latif, Weighted companion for the Ostrowski and the generalized trapezoid inequalities for mappings of bounded variation, RGMIA Research Report Collection, 14(2011), Article 92, 10 pp.
  3. [3] M.W. Alomari and S.S. Dragomir, Mercer{Trapezoid rule for the Riemann{Stieltjes integral with applications, Journal of Advances in Mathematics, 2 (2)(2013), 67-85.
  4. [4] H. Budak and M.Z. Sarikaya, On generalization of Dragomir's inequalities, RGMIA Research Report Collection, 17(2014), Article 155, 10 pp.
  5. [5] H. Budak and M.Z. Sarikaya, New weighted Ostrowski type inequalities for mappings with rst derivatives of founded variation, RGMIA Research Report Collection, 18(2015), Article 43, 8 pp.
  6. [6] H. Budak and M.Z. Sarikaya, A new generalization of Ostrowski type inequality for mappings of bounded variation, RGMIA Research Report Collection, 18(2015), Article 47, 9 pp.
  7. [7] H. Budak and M.Z. Sarikaya, On generalization of weighted Ostrowski type inequalities for functions of bounded variation, RGMIA Research Report Collection, 18(2015), Article
  8. [8] H. Budak and M. Z. Sarikaya, A new Ostrowski type inequality for functions whose fi rst derivatives are of bounded variation, Moroccan J. Pure Appl. Anal., 2(1)(2016), 1-11.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

HÜSEYİN Budak
Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce
Türkiye

MEHMET ZEKİ Sarıkaya
Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce
Türkiye

ABDULLAH Akkurt
Department of Mathematics, Faculty of Science and Arts, University of Kahramanmaraş Sütçü İmam, 46100, Kahramanmaras
Türkiye

HÜSEYİN Yıldırım
Department of Mathematics, Faculty of Science and Arts, University of Kahramanmaraş Sütçü İmam, 46100, Kahramanmaras
Türkiye

Publication Date

April 1, 2017

Submission Date

March 9, 2017

Acceptance Date

March 8, 2017

Published in Issue

Year 2017 Volume: 5 Number: 1

APA
Budak, H., Sarıkaya, M. Z., Akkurt, A., & Yıldırım, H. (2017). PERTURBED COMPANION OF OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE OF BOUNDED VARIATION. Konuralp Journal of Mathematics, 5(1), 161-175. https://izlik.org/JA44RY22PG
AMA
1.Budak H, Sarıkaya MZ, Akkurt A, Yıldırım H. PERTURBED COMPANION OF OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE OF BOUNDED VARIATION. Konuralp J. Math. 2017;5(1):161-175. https://izlik.org/JA44RY22PG
Chicago
Budak, HÜSEYİN, MEHMET ZEKİ Sarıkaya, ABDULLAH Akkurt, and HÜSEYİN Yıldırım. 2017. “PERTURBED COMPANION OF OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE OF BOUNDED VARIATION”. Konuralp Journal of Mathematics 5 (1): 161-75. https://izlik.org/JA44RY22PG.
EndNote
Budak H, Sarıkaya MZ, Akkurt A, Yıldırım H (April 1, 2017) PERTURBED COMPANION OF OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE OF BOUNDED VARIATION. Konuralp Journal of Mathematics 5 1 161–175.
IEEE
[1]H. Budak, M. Z. Sarıkaya, A. Akkurt, and H. Yıldırım, “PERTURBED COMPANION OF OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE OF BOUNDED VARIATION”, Konuralp J. Math., vol. 5, no. 1, pp. 161–175, Apr. 2017, [Online]. Available: https://izlik.org/JA44RY22PG
ISNAD
Budak, HÜSEYİN - Sarıkaya, MEHMET ZEKİ - Akkurt, ABDULLAH - Yıldırım, HÜSEYİN. “PERTURBED COMPANION OF OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE OF BOUNDED VARIATION”. Konuralp Journal of Mathematics 5/1 (April 1, 2017): 161-175. https://izlik.org/JA44RY22PG.
JAMA
1.Budak H, Sarıkaya MZ, Akkurt A, Yıldırım H. PERTURBED COMPANION OF OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE OF BOUNDED VARIATION. Konuralp J. Math. 2017;5:161–175.
MLA
Budak, HÜSEYİN, et al. “PERTURBED COMPANION OF OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE OF BOUNDED VARIATION”. Konuralp Journal of Mathematics, vol. 5, no. 1, Apr. 2017, pp. 161-75, https://izlik.org/JA44RY22PG.
Vancouver
1.HÜSEYİN Budak, MEHMET ZEKİ Sarıkaya, ABDULLAH Akkurt, HÜSEYİN Yıldırım. PERTURBED COMPANION OF OSTROWSKI TYPE INEQUALITY FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE OF BOUNDED VARIATION. Konuralp J. Math. [Internet]. 2017 Apr. 1;5(1):161-75. Available from: https://izlik.org/JA44RY22PG
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