Some integral inequalities for multiplicatively geometrically P-functions

Authors

DOI:

https://doi.org/10.11121/ijocta.01.2019.00738

Keywords:

Hermite-Hadamard inequality, Simpson type inequality, Ostrowski type inequality, trapezoid type inequality, midpoint type inequality, convex function, multiplicatively P-functions, multiplicatively geometrically P-function.

Abstract

In this manuscript, by using a general identity for differentiable functions we can obtain new estimates on a generalization of Hadamard, Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power are multiplicatively geometrically P-functions. Some applications to special means of real numbers are also given.

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References

Dragomir, S.S. and Pearce, C.E.M. (2000). Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000.

Dragomir, S.S. and Rassias, Th. M. (2002). Ostrowski type inequalities and applications in numerical integration. Kluwer Academic Publishers, Dordrecht, Boston, London.

Dragomir, S.S. Pecaric, J. and Persson, L.E. (1995). Some inequalities of Hadamard type. Soochow Journal of Mathematics, 21(3), 335-341.

Kadakal, H. (2018). Multiplicatively P- functions and some new inequalities. New Trends in Mathematical Sciences, 6(4), 111-118.

Iscan, I., 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.

Kadakal, H., Maden, S., Kadakal M. and Iscan, I. (2017). Some new integral inequalities for n-times differentiable P-functions. In- ternational Conference on Advances in Natural and Applied Sciences, Antalya, Turkey, 18-21 April 2017.

Kadakal, M., Turhan, S. Maden S. and Iscan, I. (2018). Midpoint type inequalities for the multiplicatively P-functions. International Conference on Mathematics and Mathematics Education, ICMME-2018, Ordu University, Ordu, 27-29 June 2018.

Pearce, C.E.M. and Rubinov, A.M. (1999). P-functions, quasi-convex functions and Hadamard-type inequalities. Journal of Mathematical Analysis and Applications, 240, 92–104.

Kadakal, M., Karaca, H. and Iscan, I. (2018). Hermite-Hadamard type inequalities for multiplicatively geometrically Pfunctions. Poincare Journal of Analysis & Applications, 2018(2(I)), 77-85.

Iscan, I. (2014). Hermite-Hadamard type inequalities for GA-s-convex functions, Le Matematiche, Vol. LXIX-Fasc. II, 129–146.

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Published

2019-07-31
CITATION
DOI: 10.11121/ijocta.01.2019.00738
Published: 2019-07-31

How to Cite

Kadakal, H. (2019). Some integral inequalities for multiplicatively geometrically P-functions. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 9(2), 216–222. https://doi.org/10.11121/ijocta.01.2019.00738

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Research Articles