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초록· 키워드
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An Ostrowski type inequality is developed for estimating the
deviation of the integral mean of an absolutely continuous function, and
the linear combination of its values at k + 1 partition points, on a segment
of (real) linear spaces. Several particular cases are provided which
recapture some earlier results, along with the results for trapezoidal type
inequalities and the classical Ostrowski inequality. Some inequalities are
obtained by applying these results for semi-inner products; and some of
these inequalities are proven to be sharp
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참고문헌 (23)
참고문헌 신청
C. D. Aliprantis / 1981 / Principles of Real Analysis / North-Holland Publishing Co.
C. F. Dunkl / 1964 / Mathematical notes: a simple norm inequality / American Mathematical Monthly 71 (1) : 53 ~ 54
E. Kikianty / / Sharp inequalities of Ostrowski type for convex functions defined on linear spaces and applications / Computers & Mathematics with Applications
G. A. Anastassiou / 1995 / Ostrowski type inequalities / Proceedings of the American Mathematical Society 123 (12) : 3775 ~ 3781
N. S. Barnett / 2002 / Ostrowski’s inequality for vectorvalued functions and applications / Computers & Mathematics with Applications 44 (5) : 559 ~ 572
C. F. Dunkl / 1964 / Mathematical notes: a simple norm inequality / American Mathematical Monthly 71 (1) : 53 ~ 54
E. Kikianty / / Sharp inequalities of Ostrowski type for convex functions defined on linear spaces and applications / Computers & Mathematics with Applications
G. A. Anastassiou / 1995 / Ostrowski type inequalities / Proceedings of the American Mathematical Society 123 (12) : 3775 ~ 3781
N. S. Barnett / 2002 / Ostrowski’s inequality for vectorvalued functions and applications / Computers & Mathematics with Applications 44 (5) : 559 ~ 572
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