Uniform Treatment of Jensen's Inequality by Montgomery Identity (CROSBI ID 313917)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Rasheed, Tahir ; Butt, Saad Ihsan ; Pecaric, Dilda ; Pecaric, Josip ; Akdemir, Ahmet Ocak
engleski
Uniform Treatment of Jensen's Inequality by Montgomery Identity
We generalize Jensen's integral inequality for real Stieltjes measure by using Montgomery identity under the effect of n-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 q-calculus and fractional integrals. Also, we give applications in information theory for our obtained results, especially for Zipf and Hybrid Zipf-Mandelbrot entropies.
N-CONVEX FUNCTIONS ; Jensen's Inequality ; Montgomery Identity ; Zipf and Hybrid Zipf-Mandelbrot entropies
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Podaci o izdanju
2021 (-)
2021.
5564647
17
objavljeno
2314-4629
2314-4785
10.1155/2021/5564647
Povezanost rada
Informacijske i komunikacijske znanosti, Interdisciplinarne društvene znanosti, Matematika