Results 181 to 190 of about 30,526 (192)
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Jensen-Mercer inequality and its applications
2007Our starting point is the following variant of Jensen's inequality f(a+b-(1/(W_{; ; n}; ; ))∑ _{; ; i=1}; ; ⁿ w_{; ; i}; ; x_{; ; i}; ; )≤ f(a)+f(b)-(1/(W_{; ; n}; ; ))∑ _{; ; i=1}; ; ⁿ w_{; ; i}; ; f(x_{; ; i}; ; ), for convex function f:[a, b]→ ℝ , real numbers x₁ , … , x_{; ; n}; ; ∈ [a, b]
Matković, Anita, Pečarić, Josip
openaire
Jensen-Mercer inequality for uniformly convex functions with some applications
Afrika Matematika, 2023Yamin Sayyari
exaly
A Variant of Jessen's Inequality of Mercer's Type for Superquadratic Functions
2008A variant of Jessen's inequality for superquadratic functions is proved. This is a refinement of a variant of Jessen's inequality of Mercer's type for convex functions. The result is used to refine some comparison inequalities of Mercer's type between functional power means and between functional quasi-arithmetic means.
Abramovich, Shoshana +2 more
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Hermite–Hadamard–Mercer-Type Inequalities for Harmonically Convex Mappings
Mathematics, 2021Muhammad Aamir Ali +2 more
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Generalization of the Jensen-Mercer inequality by Taylor's polynomial
2015We present generalizations of the Jensen-Mercer inequality for the class of n-convex functions, obtained by using Taylor's polynomial and Green function. By applying those inequalities we obtain some related results and produce new families of exponentially convex functions.
Pečarić, Josip, Matković, Anita
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Jensen-Mercer Type Inequalities in the Setting of Fractional Calculus with Applications
Symmetry, 2022Bandar Bin-Mohsin +2 more
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A variant of the Jensen–Mercer operator inequality for superquadratic functions
Mathematical and Computer Modelling, 2010Anita Matkovic, Josip E Pečarić
exaly