کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9505828 1340347 2005 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
General inequalities, consequences and applications
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
General inequalities, consequences and applications
چکیده انگلیسی
We present a variety of sharp inequalities of integral, polynomial, coefficient, binomial, exponential, and other types. In particular, we prove inequalities for convolutions with weights generated by the gamma and beta functions. Applications include hypergeometric series, fractional integrals, bi-hermitian forms, and univalent functions. A family of positive definite kernels and related transformations naturally arise in the study. The formulation in terms of positive definite matrices is discussed as well. The research is associated with author's recent result on general inequalities with binomial weights.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Applied Mathematics - Volume 34, Issue 1, January 2005, Pages 71-100
نویسندگان
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