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. 23 , 8 ( 2017 ), 1384 - 1397 . [3] Akkurt , A ., Sarikaya , M. Z ., Budak , H ., and Yildirim , H . Generalized Ostrowski type integral inequalities involving generalized moments via local fractional integrals . Rev. R

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Abstract  

In this paper, we establish some new refinements for the celebrated Fejér’s and Hermite-Hadamard’s integral inequalities for convex functions.

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In the present paper we establish two new integral inequalities similar to Opial's inequality in two independent variables. The inequalities established in this paper are similar to the analogues of Calvert's generalizations of Opial's inequality, in two independent variables and contains in the special case the analogue of Opial's inequality given by G. S. Yang in two independent variables.

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References [1] R . Bagby . Weak bounds for the maximal function in weighted Orlicz spaces . Studia Math ., 95 : 195 – 204 , 1990 . [2] S . Bloom and R . Kerman . Weighted Orlicz space integral inequalities for the Hardy–Littlewood maximal

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References [1] Bessenyei , M. , Páles , Zs. 2010 Characterization of higher order monotonicity via integral inequalities Proc. Roy. Soc. Edinburgh Sect. A 140 723 – 736 10

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