Hermite-Hadamard type inequalities for harmonical $ (h1, h2)- $convex interval-valued functions

We introduce the concept of interval harmonical \begin{document}$ (h1,h2)- $\end{document} convex functions, establish some new Hermite-Hadamard type inequalities on interval Riemann integrable functions, and generalize the results of Noor et al. 2015 and Zhao Dafang et al. 2019.

[1]  J. A. Mulder,et al.  Neural Network Output Optimization Using Interval Analysis , 2009, IEEE Transactions on Neural Networks.

[2]  A. Flores-Franulic,et al.  An Ostrowski type inequality for interval-valued functions , 2013, 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS).

[3]  Muhammad Aslam Noor,et al.  Some integral inequalities for harmonic h-convex functions involving hypergeometric functions , 2015, Appl. Math. Comput..

[4]  A. Ghazanfari The Hermite-Hadamard type inequalities for operator s-convex functions , 2014, 1407.2561.

[5]  Dafang Zhao,et al.  Hermite-Hadamard Type Inequalities for Interval (h1, h2)-Convex Functions , 2019, Mathematics.

[6]  Fej\'{e}r type inequalities for Harmonically-convex functions with applications , 2017 .

[7]  H. Román-Flores,et al.  Some integral inequalities for interval-valued functions , 2016, Computational and Applied Mathematics.

[9]  I. Işcan Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable Harmonically Convex Functions , 2013 .

[10]  Heriberto Román-Flores,et al.  Some integral inequalities for fuzzy-interval-valued functions , 2017, Inf. Sci..

[11]  Imdat Iscan On generalization of different type inequalities for harmonically quasi-convex functions via fractional integrals , 2016, Appl. Math. Comput..

[12]  Edward J. Rothwell,et al.  Automatic Error Analysis Using Intervals , 2012, IEEE Transactions on Education.

[13]  Sever S Dragomir,et al.  Inequalities of Hermite-Hadamard Type for h-Convex Functions on Linear Spaces , 2015 .

[14]  Tiago Mendonça da Costa,et al.  Jensen's inequality type integral for fuzzy-interval-valued functions , 2017, Fuzzy Sets Syst..

[15]  İmdat İşcan,et al.  Hermite–Hadamard–Fejér Type Inequalities for p-Convex Functions via Fractional Integrals , 2014, 1404.7722.

[16]  H. Yildirim,et al.  ON SOME HADAMARD-TYPE INEQUALITIES FOR h-CONVEX FUNCTIONS , 2008 .

[17]  Yi Li,et al.  Interval analysis of the wing divergence , 2018 .

[18]  Sanja Varošanec,et al.  On h-convexity , 2007 .

[19]  A. Dinghas,et al.  Zum Minkowskischen Integralbegriff abgeschlossener Mengen , 1956 .

[20]  A. Flores-Franulic,et al.  Ostrowski type inequalities for interval-valued functions using generalized Hukuhara derivative , 2012 .

[21]  Sahin Emrah Amrahov,et al.  Solving a nonhomogeneous linear system of interval differential equations , 2018, Soft Comput..

[22]  Awais Gul Khan,et al.  SOME NEW CLASSES OF CONVEX FUNCTIONS AND INEQUALITIES , 2018 .