3 problems
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Belinsky's conjecture on Cesàro means along convex subsequences
Let be a convex sequence of positive integers. Consider the Cesàro means of the corresponding partial sums, … Belinsky's conjecture. The condition … is necessary and suffic…
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Largest-parameter positivity conjecture for generalized Cesàro means
Largest-parameter positivity conjecture. The inequality
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Sharpness conjecture for Cesàro means of Jacobi expansions on the parabolic biangle
Let be the parabolic biangle, let be the corresponding orthogonality weight, and let the means be formed from the orthogonal expansions with r…