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Finney D, Parker L, Gregory W, Turner A.
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Global burden and cross-country inequalities of age-related eye diseases from 1990 to 2021: a comprehensive analysis of temporal trends and socioeconomic disparities. [PDF]
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Repeated Integral Inequalities
IMA Journal of Numerical Analysis, 1984The purpose of this paper is to present the following linear generalization of Gronwall's inequality: Let the function x be continuous and non-negative on the interval [0,T]. If \[ x(t)\leq \Phi (t)+M\int^{t}_{0}\int^{t_ m}_{0}...\int^{t_ 1}_{0}[x(s)/(t_ 1-s)^{\alpha}]ds dt_ 1...dt_ m,\quad t\in [0,T], \] where \(\alpha 0\) is constant, and \(\Phi\) (t)
Dixon, Jennifer, McKee, Sean
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Generalized integral Niezgoda’s inequalities
Asian-European Journal of Mathematics, 2022In this paper, we give generalizations followed by refinements of the integral version of Niezgoda’s inequality in several different ways by using weights, functions with nondecreasing increments and isotonic linear functionals.
M. Maqsood Ali, Asif R. Khan
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