HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR MULTIPLICATIVELY HARMONICALLY P-FUNCTIONS

Mahir Kadakal

HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR MULTIPLICATIVELY HARMONICALLY P-FUNCTIONS

Abstract

In this paper, using the Hölder-İşcan and improved power-mean integral inequalities together with an identity, we obtain new estimates on generalization of Hadamard and Simpson type inequalities for multiplicatively harmonically P-functions. The obtained results are compared with the previous ones.

Keywords

References

Dragomir, S. S., (2000) Agarwal, R. P. & Cerone, P. On Simpson's inequality and applications., J. Inequal. Appl. 5, 533-579.
Dragomir, SS. and Pearce CEM., (2003) Selected topics on Hermite-Hadamard inequalities and applications, Mathematics Preprint Archive.
Dragomir SS, Pečarić JE, Persson LE., (1995) Some inequalities of Hadamard type. Soochow J. Math. 21:335-341.
İşcan İ., (2014) Hermite-Hadamard type inequalities for harmonically convex functions. Hacet. J. Math. Stat. Volume 43 (6) (2014), 935 – 942.
İşcan İ., (2014) Some new general integral inequalities for h-convex and h-concave functions. Adv. Pure Appl. Math. 5(1):21-29.
İşcan İ., (2014) Hermite-Hadamard type inequalities for GA-s-convex functions. Le Matematiche, Vol. LXIX , Fasc. II, pp. 129-146.
İşcan, İ., (2019) New refinements for integral and sum forms of Hölder inequality, Researchgate, DOI: 10.13140/RG.2.2.19356.54409, Preprint, January.
İşcan, İ., Numan S. and Bekar K., (2014) Hermite-Hadamard and Simpson Type Inequalities for Differentiable Harmonically P-functions, British Journal of Mathematics & Computer Science, 4(14): 1908-1920.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Mahir Kadakal This is me
0000-0002-0240-918X
Türkiye

Publication Date

December 1, 2019

Submission Date

February 14, 2019

Acceptance Date

October 7, 2019

Published in Issue

Year 2019 Volume: 37 Number: 4

IZ

https://izlik.org/JA48CF94FH

Cite

RIS / Bibtex

APA

Kadakal, M. (2019). HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR MULTIPLICATIVELY HARMONICALLY P-FUNCTIONS. Sigma Journal of Engineering and Natural Sciences, 37(4), 1315-1324. https://izlik.org/JA48CF94FH

AMA

1.Kadakal M. HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR MULTIPLICATIVELY HARMONICALLY P-FUNCTIONS. SIGMA. 2019;37(4):1315-1324. https://izlik.org/JA48CF94FH

Chicago

Kadakal, Mahir. 2019. “HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR MULTIPLICATIVELY HARMONICALLY P-FUNCTIONS”. Sigma Journal of Engineering and Natural Sciences 37 (4): 1315-24. https://izlik.org/JA48CF94FH.

EndNote

Kadakal M (December 1, 2019) HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR MULTIPLICATIVELY HARMONICALLY P-FUNCTIONS. Sigma Journal of Engineering and Natural Sciences 37 4 1315–1324.

IEEE

[1]M. Kadakal, “HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR MULTIPLICATIVELY HARMONICALLY P-FUNCTIONS”, SIGMA, vol. 37, no. 4, pp. 1315–1324, Dec. 2019, [Online]. Available: https://izlik.org/JA48CF94FH

ISNAD

Kadakal, Mahir. “HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR MULTIPLICATIVELY HARMONICALLY P-FUNCTIONS”. Sigma Journal of Engineering and Natural Sciences 37/4 (December 1, 2019): 1315-1324. https://izlik.org/JA48CF94FH.

JAMA

1.Kadakal M. HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR MULTIPLICATIVELY HARMONICALLY P-FUNCTIONS. SIGMA. 2019;37:1315–1324.

MLA

Kadakal, Mahir. “HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR MULTIPLICATIVELY HARMONICALLY P-FUNCTIONS”. Sigma Journal of Engineering and Natural Sciences, vol. 37, no. 4, Dec. 2019, pp. 1315-24, https://izlik.org/JA48CF94FH.

Vancouver

1.Mahir Kadakal. HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR MULTIPLICATIVELY HARMONICALLY P-FUNCTIONS. SIGMA [Internet]. 2019 Dec. 1;37(4):1315-24. Available from: https://izlik.org/JA48CF94FH