Inequalities relating to some Algebraic Means
نویسندگان
چکیده
منابع مشابه
extensions of some polynomial inequalities to the polar derivative
توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولSome Inequalities of Algebraic Polynomials
Erdös and Lorentz showed that by considering the special kind of the polynomials better bounds for the derivative are possible. Let us denote by Hn the set of all polynomials whose degree is n and whose zeros are real and lie inside [-1, 1 ). Let Pn € H„ and Pn ( 1 ) = 1 ; then the object of Theorem 1 is to obtain the best lower bound of the expression f}_{ \P¡,(x)\p dx for p > 1 and characteri...
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(1) f = se(z) = z + — + • • • z and which maps D conformally and bi-uniformly upon a domain De of the f-plane bounded by n rectilinear slits each of which makes the angle 0 with the positive direction of the real axis. The domain De is itself also uniquely determined for each value of 0. In the present paper we shall derive two inequalities involving the coefficient a$ appearing in (1) and the ...
متن کاملSome New Inequalities Between Important Means and Applications to Ky Fan - type Inequalities
In this paper, mainly using the convexity of the function a x −b x cx−dx and convexity or concavity of the function ln a x −b x cx−dx on the real line, where a > b ≥ c > d > 0 are fixed real numbers, we obtain some important relations between various important means of these numbers. Also, we apply the obtained results to Ky Fan type inequalities and get some new refinements. 2000 Mathematics S...
متن کاملSome New Inequalities Between Important Means and Applications to Ky Fan Types Inequalities
In this paper, mainly using the convexity of the function a −b cx−dx and convexity or concavity of the function ln a −b cx−dx on the real line, where a > b ≥ c > d > 0 are fixed real numbers, we obtain some important relations between various important means of these numbers. Also, we apply the obtained results to Ky Fan type inequalities and get some new refinements. 2000 Mathematics Subject C...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1900
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500032594