Turán‐type inequalities for the supertrigonometric functions

2021 ◽  
Author(s):  
Lu‐Lu Geng ◽  
Xiao‐Jun Yang ◽  
Jian‐Gen Liu
Keyword(s):  
Turán Type Inequalities

Turán-type inequalities for polynomials with restricted zeros

2010 ◽  
Vol 13 (2) ◽  
pp. 217-224 ◽  
Author(s):  
K. K. Dewan ◽  
Arty Ahuja ◽  
Sunil Hans
Keyword(s):  
Turán Type Inequalities ◽  
Restricted Zeros

scholarly journals On some inequalities involving Turán-type inequalities

2016 ◽  
Vol 3 (1) ◽  
pp. 1130678
Author(s):  
Piyush Kumar Bhandari ◽  
S.K. Bissu ◽  
Regina S. Burachik
Keyword(s):  
Turán Type Inequalities

On some Turán-type inequalities forq-special functions

2017 ◽  
Vol 24 (1) ◽  
pp. 48-58
Author(s):  
Meryam Ben Said ◽  
Khaled Mehrez ◽  
Jamel El Kamel
Keyword(s):  
Special Functions ◽  
Turán Type Inequalities

scholarly journals TURÁN TYPE INEQUALITIES FOR MODIFIED BESSEL FUNCTIONS

2010 ◽  
Vol 82 (2) ◽  
pp. 254-264 ◽  
Author(s):  
ÁRPÁD BARICZ
Keyword(s):  
Bessel Functions ◽  
Infinite Divisibility ◽  
Modified Bessel Functions ◽  
Explicit Formulas ◽  
Turán Type Inequalities

AbstractIn this paper our aim is to deduce some sharp Turán type inequalities for modified Bessel functions of the first and second kinds. Our proofs are based on explicit formulas for the Turánians of the modified Bessel functions of the first and second kinds and on a formula which is related to the infinite divisibility of the Student t-distribution.

scholarly journals Some inequalities of Bessel and modified Bessel functions

1991 ◽  
Vol 50 (2) ◽  
pp. 333-342 ◽  
Author(s):  
C. M. Joshi ◽  
S. K. Bissu
Keyword(s):  
Lower Bounds ◽  
Bessel Functions ◽  
Upper And Lower Bounds ◽  
Modified Bessel Functions ◽  
Turán Type Inequalities

AbstractTwo-sided inequalties for the ratio of modified Bessel functions of first kind are given, which provide sharper upper and lower bounds than had been known earlier. Wronskian type inequalities for Bessel functions are proved, and in the sequel alternative proofs of Turan-type inequalities for Bessel and modified Bessel functions are also discussed. These then lead to a two-sided inequality for Bessel functions. Also incorporated in the discussion is an inequality for the ratio of two Bessel functions for 0 < x < 1. Verifications of these inequalities are pointed out numerically.

Sign in / Sign up

Export Citation Format

Share Document