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• W3162766251 abstract "We generalize Jensen’s integral inequality for real Stieltjes measure by using Montgomery identity under the effect of <math xmlns=http://www.w3.org/1998/Math/MathML id=M1> <mi mathvariant=fraktur>n</mi> <mo>−</mo> </math> convex functions; also, we give different versions of Jensen’s discrete inequality along with its converses for real weights. As an application, we give generalized variants of Hermite–Hadamard inequality. Montgomery identity has a great importance as many inequalities can be obtained from Montgomery identity in <math xmlns=http://www.w3.org/1998/Math/MathML id=M2> <mi>q</mi> <mo>−</mo> </math> calculus and fractional integrals. Also, we give applications in information theory for our obtained results, especially for Zipf and Hybrid Zipf–Mandelbrot entropies." @default.
• W3162766251 created "2021-05-24" @default.
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• W3162766251 date "2021-05-15" @default.
• W3162766251 modified "2023-10-17" @default.
• W3162766251 title "Uniform Treatment of Jensen’s Inequality by Montgomery Identity" @default.
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• W3162766251 doi "https://doi.org/10.1155/2021/5564647" @default.
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