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• W2619044677 abstract "We consider discrete and continuous cyclic refinements of Jensen’s inequality and generalize them from convex function to higher order convex function by means of Lagrange Green’s function and Montgomery identity. We give application of our results by formulating the monotonicity of the linear functionals obtained from generalized identities utilizing the theory of inequalities for [Formula: see text]-convex functions at a point. We compute Grüss and Ostrowski type bounds for generalized identities associated with the obtained inequalities. Finally, we investigate the properties of linear functionals regarding exponential convexity log convexity and mean value theorems." @default.
• W2619044677 created "2017-06-05" @default.
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• W2619044677 date "2018-08-01" @default.
• W2619044677 modified "2023-10-16" @default.
• W2619044677 title "Generalization of cyclic refinements of Jensen inequality by montgomery identity and Green’s function" @default.
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• W2619044677 doi "https://doi.org/10.1142/s1793557118500602" @default.
• W2619044677 hasPublicationYear "2018" @default.
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