Results 11 to 20 of about 4,698 (283)
Jensen–Steffensen inequality for strongly convex functions [PDF]
Journal of Inequalities and Applications, 2018 The Jensen inequality for convex functions holds under the assumption that all of the included weights are nonnegative. If we allow some of the weights to be negative, such an inequality is called the Jensen–Steffensen inequality for convex functions. In
M. Klaričić Bakula
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On Some Improvements of the Jensen Inequality with Some Applications [PDF]
Journal of Inequalities and Applications, 2009 An improvement of the Jensen inequality for convex and monotone function is given as well as various applications for mean. Similar results for related inequalities of the Jensen type are also obtained.
M. Adil Khan +3 more
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New Estimates for Csiszár Divergence and Zipf–Mandelbrot Entropy via Jensen–Mercer’s Inequality [PDF]
Complexity, 2020 Jensen’s inequality is one of the fundamental inequalities which has several applications in almost every field of science. In 2003, Mercer gave a variant of Jensen’s inequality which is known as Jensen–Mercer’s inequality. The purpose of this article is
Muhammad Adil Khan +2 more
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New refinement of the Jensen inequality associated to certain functions with applications [PDF]
Journal of Inequalities and Applications, 2020 This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory.
Muhammad Adil Khan +2 more
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On the Converse Jensen-Type Inequality for Generalized f-Divergences and Zipf–Mandelbrot Law [PDF]
Mathematics, 2022 Motivated by some recent investigations about the sharpness of the Jensen inequality, this paper deals with the sharpness of the converse of the Jensen inequality.
Mirna Rodić
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A Refinement of the Integral Jensen Inequality Pertaining Certain Functions with Applications [PDF]
Journal of Function Spaces, 2022 In this paper, we present a new refinement of the integral Jensen inequality by utilizing certain functions and give its applications to various means.
Zaid Mohammed Mohammed Mahdi Sayed +3 more
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Generalized Jensen-Mercer Inequality for Functions with Nondecreasing Increments [PDF]
Abstract and Applied Analysis, 2016 In the year 2003, McD Mercer established an interesting variation of Jensen’s inequality and later in 2009 Mercer’s result was generalized to higher dimensions by M. Niezgoda. Recently, Asif et al.
Asif R. Khan, Sumayyah Saadi
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The Jensen inequality: refinements and applications
Journal of Numerical Analysis and Approximation Theory, 1985 Not available.
D. Andrica, I. Raşa
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On a modified version of Jensen inequality [PDF]
Journal of Inequalities and Applications, 1999 The right-hand side of the Jensen inequality is multiplied by a constant and the related equation is considered. It is shown that every continuous solution of this equation is of the form for some , .
Szostok Tomasz
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Journal of Mathematics, 2021 In this study, we present some new refinements of the Jensen inequality with the help of majorization results. We use the concept of convexity along with the theory of majorization and obtain refinements of the Jensen inequality.
Yongping Deng +4 more
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