Optimal Functional Inequalities for Fractional Operators on the Sphere and Applications. [PDF]
Dolbeault J, Zhang A.
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Raport of Meeting
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Inequalities Involving Cylindrical Functions [PDF]
Curtz, T. B., Siegel, K. M.
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Functional inequalities involving special functions
Let \(_2F_1 (a,b;c;x)\) be a hypergeometric function and let \[ m(r) = {}_2F_1 (a,b;a+b;(1-r^2))/_2F_1 (a,b;a+b;r^2), \quad r \in (0,1). \] The author shows that \[ m(r) + m(s) \geq 2m[ \sqrt(1- \sqrt(( 1-r^2)(1-s^2)))]. \] If \(u_p\) is the generalized and normalized Bessel function and \(\sigma(r) = u_p(1 - r^2)/ u_p (r^2)\), the author proves that \[
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Asymmetric Blaschke-Santaló functional inequalities [PDF]
J. Haddad +2 more
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Education-Based Inequality in Edentulism and Functional Dentition Among Older Brazilian Adults: A Study Covering a Period of 20 Years. [PDF]
Fonseca MLV +7 more
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Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. [PDF]
Ghosh S, Kumar V, Ruzhansky M.
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Grüss-type inequalities involving functional bounds via analytic kernel fractional integral. [PDF]
Neamah MK +3 more
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Pólya-Szegő Inequalities on Submanifolds with Small Total Mean Curvature. [PDF]
Aldrigo P, Balogh ZM.
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Functional inequalities for the Fox–Wright functions
K. Mehrez, S. Sitnik
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