GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI'S INEQUALITY

Volume: 9 Number: 3 September 1, 2019
  • S. Erden
  • M. Z. Sarıkaya
  • S. S. Dragomir
EN

GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI'S INEQUALITY

Abstract

We establish some generalizations of power Pompeiu's inequality for local fractional integral. Afterwards, these results gave some new generalized Ostrowski type inequalities. Finally, some applications of these inequalities for generalized special means are obtained.

Keywords

References

  1. Acu, A. M., Babos, A. and Sofonea, F. D., (2011), The mean value theorems and inequalities of Ostrowski type, Sci. Stud. Res. Ser. Math. Inform, 21(1), pp. 5–16.
  2. Ahmad, F., Mir, N. A. and Sarikaya, M. Z., (2014) An inequality of Ostrowski type via variant of Pompeiu’s mean value theorem, J. Basic. Appl. Sci. Res, 4(4), pp. 204-211.
  3. Chen, G-S., (2013), Generalizations of H¨older’s and some related integral inequalities on fractal space. Journal of Function Spaces and Applications, Article ID 198405, 9 pages.
  4. Dragomir, S. S., (2005), An inequality of Ostrowski type via Pompeiu’s mean value theorem, J. of Inequal. in Pure and Appl. Math, 6(3), Art. 83.
  5. Dragomir, S. S., (2013), Power Pompeiu’s type inequalities for absolutely continuous functions with applications to Ostrowski’s inequality, RGMIA Research Report Collection, 16 (Article 68), 8 pages.
  6. Erden, S. and Sarikaya, M.Z., (2016), Generalized Pompeiu type inequalities for local fractional integrals and Its Applications, Apllied Math. and Computations, 274, pp. 282-291.
  7. Mo, H., Sui, X. and Yu, D., (2014), Generalized convex functions on fractal sets and two related inequalities, Abstract and Applied Analysis, Article ID 636751, 7 pages.
  8. Ostrowski, A. M., (1938), ¨Uber die absolutabweichung einer differentiebaren funktion von ihrem inte- gralmitelwert, Comment. Math. Helv., 10, pp. 226-227.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

S. Erden This is me

M. Z. Sarıkaya This is me

S. S. Dragomir This is me

Publication Date

September 1, 2019

Submission Date

-

Acceptance Date

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Published in Issue

Year 2019 Volume: 9 Number: 3

APA
Erden, S., Sarıkaya, M. Z., & Dragomir, S. S. (2019). GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI’S INEQUALITY. TWMS Journal of Applied and Engineering Mathematics, 9(3), 609-619. https://izlik.org/JA67XU32CT
AMA
1.Erden S, Sarıkaya MZ, Dragomir SS. GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI’S INEQUALITY. JAEM. 2019;9(3):609-619. https://izlik.org/JA67XU32CT
Chicago
Erden, S., M. Z. Sarıkaya, and S. S. Dragomir. 2019. “GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI’S INEQUALITY”. TWMS Journal of Applied and Engineering Mathematics 9 (3): 609-19. https://izlik.org/JA67XU32CT.
EndNote
Erden S, Sarıkaya MZ, Dragomir SS (September 1, 2019) GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI’S INEQUALITY. TWMS Journal of Applied and Engineering Mathematics 9 3 609–619.
IEEE
[1]S. Erden, M. Z. Sarıkaya, and S. S. Dragomir, “GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI’S INEQUALITY”, JAEM, vol. 9, no. 3, pp. 609–619, Sept. 2019, [Online]. Available: https://izlik.org/JA67XU32CT
ISNAD
Erden, S. - Sarıkaya, M. Z. - Dragomir, S. S. “GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI’S INEQUALITY”. TWMS Journal of Applied and Engineering Mathematics 9/3 (September 1, 2019): 609-619. https://izlik.org/JA67XU32CT.
JAMA
1.Erden S, Sarıkaya MZ, Dragomir SS. GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI’S INEQUALITY. JAEM. 2019;9:609–619.
MLA
Erden, S., et al. “GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI’S INEQUALITY”. TWMS Journal of Applied and Engineering Mathematics, vol. 9, no. 3, Sept. 2019, pp. 609-1, https://izlik.org/JA67XU32CT.
Vancouver
1.S. Erden, M. Z. Sarıkaya, S. S. Dragomir. GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI’S INEQUALITY. JAEM [Internet]. 2019 Sep. 1;9(3):609-1. Available from: https://izlik.org/JA67XU32CT