Improvement and Reversion of Slater’s Inequality and Related Results
نویسندگان
چکیده
منابع مشابه
Related to Agricultural Research, Distribution of Income and Agricultural Value Added
Agricultural Research is one of the most important factors in agricultural development, thus, the role and importance of research is increasing. Within the past years, all developed and consequently developing countries have engaged their most attention to promote their researches indexes. This study is investigating the effect of agricultural research on the distribution of income and agricult...
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and Applied Analysis 3 It is obvious that for any t > 0 > swe have f ( x ty ) − f x t ≥ ∇ f x ( y ) inf t>0 [ f ( x ty ) − f x t ] ≥ sup s<0 [ f ( x sy ) − f x s ] ∇−f x ( y ) ≥ f ( x sy ) − f x s , 2.2 for any x, y ∈ X and, in particular, ∇−f u u − v ≥ f u − f v ≥ ∇ f v u − v , 2.3 for any u, v ∈ X. We call this the gradient inequality for the convex function f . It will be used frequently in ...
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