From integral estimates of functions to uniformly and locally averaged

2016/10/11 by Rustam Baladai, R. A. Baladai, Baladai, R. A. +3
Mathematics · #30A10 #32A10 #32A22 #39B62 #Complex Variables (math.CV) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications #Mathematical functions and polynomials #math.CV #msc:30A10 #msc:32A10 #msc:32A22 #msc:39B62

paper · pdf · doi:10.48550/arxiv.1610.03409

12 pages, in Russian; Russian Mathematics (Izvestiya VUZ. Matematika); to appear

arxiv created 2016/10/11 · openalex publication_date 2016/10/11 · arxiv updated 2016/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Problems pointwise estimates from above functions or its averages often arise in the function theory under known integral restrictions on the growth of this function. We offer an approach to such problems based on the integral Jensen's inequality with the convex function

Related

• From integral estimates of functions to uniform. I. Exact versions
• New general integral inequality for convex functions and applications
• Jensen-type inequality for non-convex functions
• On Jensen Functional, Convexity and Uniform Convexity
• On Integral Functions Having Prescribed Asymptotic Growth