Extensions of the generalized Wilker inequality to Bessel functions
نویسندگان
چکیده
منابع مشابه
extensions of some polynomial inequalities to the polar derivative
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15 صفحه اولInequalities Involving Generalized Bessel Functions
Let up denote the normalized, generalized Bessel function of order p which depends on two parameters b and c and let λp(x) = up(x), x ≥ 0. It is proven that under some conditions imposed on p, b, and c the Askey inequality holds true for the function λp , i.e., that λp(x) +λp(y) ≤ 1 +λp(z), where x, y ≥ 0 and z = x + y. The lower and upper bounds for the function λp are also established.
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2008
ISSN: 1846-579X
DOI: 10.7153/jmi-02-35