MULTIPLICATIVELY HARMONICALLY P-FUNCTIONS AND SOME RELATED INEQUALITIES

Year 2019, Volume: 37 Issue: 2, 521 - 528, 01.06.2019

İmdat İşcan Volkan Olucak

Abstract

In this study, we introduce a new class of functions called as multiplicatively harmonically P-function. Some new Hermite-Hadamard type inequalities are obtained for this class of functions.

Keywords

Multiplicatively P-function , multiplicatively harmonically P-function , Hölder and power-mean integral inequalities , Hermite-Hadamard type inequality.

References

• [1] Hadamard J., (1893) Etude sur les proprietes des fonctions entieres en particulier d’une fonction consideree par Riemann, J. Math. Pures Appl. 58, 171-215 .
• [2] Dragomir S.S., Pečarić J. and Persson L.E., (1995) Some inequalities of Hadamard Type, Soochow Journal of Mathematics, 21(3), 335-341.
• [3] İscan 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.
• [4] İşcan İ., (2014) Hermite-Hadamard type inequalities for harmonically convex functions, Hacettepe Journal of Mathematics and Statistics, 43 (6), 935-942.
• [5] Kadakal H., (2018) Multiplicatively P-functions and some new inequalities, New Trends in Mathematical Sciences, 6(4), 111-118.