Some new inequalities of Simpson's type for functions whose third derivatives in absolute value at some powers are strongly (s, m)convex in the second sense are provided. An application to the Simpson's quadrature rule is also provided.
Abstract. We prove generalized weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales via a parameter function. In particular, our result extends a result of Dragomir and Barnett. Furthermore, we apply our results to the continuous, discrete, and quantum cases, to obtain some interesting new inequalities.Mathematics subject classification (2010): 26D10, 26D15, 26E70.
In this paper, we introduced some new integral inequalities of the Hermite–Hadamard type for functions whose second derivatives in absolute values at certain powers are strongly η -convex functions via the Katugampola fractional integrals.
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