Some inequalities in inner product spaces related to the generalized triangle inequality
نویسندگان
چکیده
In this paper we obtain some inequalities related to the generalized triangle and quadratic triangle inequalities for vectors in inner product spaces. Some results that employ the Ostrowski discrete inequality for vectors in normed linear spaces are also obtained.
منابع مشابه
A Potpourri of Schwarz Related Inequalities in Inner Product Spaces (i)
In this paper we obtain some new Schwarz related inequalities in inner product spaces over the real or complex number field. Applications for the generalized triangle inequality are also given.
متن کاملA Potpourri of Schwarz Related Inequalities in Inner Product Spaces
In this paper we obtain some new Schwarz related inequalities in inner product spaces over the real or complex number field. Applications for the generalized triangle inequality are also given.
متن کاملOn Reverses of Some Inequalities in n-Inner Product Spaces
In 1964, Gähler 1 introduced the concept of 2-norm and 2-inner product spaces as generalization of norm and inner product spaces. A systematic presentation of the results related to the theory of 2-inner product spaces can be found in the book in 2, 3 and in list of references in it. Generalization of 2-inner product space for n ≥ 2 was developed by Misiak 4 in 1989. Gunawan and Mashadi 5 in 20...
متن کاملm at h . FA ] 1 F eb 2 00 5 Refinements of Reverse Triangle Inequalities in Inner Product Spaces ∗
Refining some results of S. S. Dragomir, several new reverses of the triangle inequality in inner product spaces are obtained.
متن کاملReverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces
Reverses of the Schwarz, triangle and Bessel inequalities in inner product spaces that improve some earlier results are pointed out. They are applied to obtain new Grüss type inequalities. Some natural integral inequalities are also stated.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 217 شماره
صفحات -
تاریخ انتشار 2011