Some further remarks on the Ostrowski generalization of Čebyšev's inequality
نویسندگان
چکیده
منابع مشابه
A New Generalization of Ostrowski Type Inequality on Time Scales
(b− a)‖f ‖∞. (1) The inequality is sharp in the sense that the constant 14 cannot be replaced by a smaller one. For some extensions, generalizations and similar results, see [6, 9, 10, 11, 13, 14] and references therein. The development of the theory of time scales was initiated by Hilger [7] in 1988 as a theory capable to contain both difference and differential calculus in a consistent way. S...
متن کاملSome Remarks on the Fefferman-stein Inequality
We investigate the Fefferman-Stein inequality related a function f and the sharp maximal function f on a Banach function space X. It is proved that this inequality is equivalent to a certain boundedness property of the Hardy-Littlewood maximal operatorM . The latter property is shown to be self-improving. We apply our results in several directions. First, we show the existence of nontrivial spa...
متن کاملSome remarks on the elliptic Harnack inequality
In this note we give three short results concerning the elliptic Harnack inequality (EHI), in the context of random walks on graphs. The first is that the EHI implies polynomial growth of the number of points in balls, and the second that the EHI is equivalent to an annulus type Harnack inequality for Green’s functions. The third result uses the lamplighter group to give a counterexample concer...
متن کاملOn the Weighted Ostrowski Inequality
On utilising an identity from [5], some weighted Ostrowski type inequalities are established.
متن کاملSome remarks on weighted logarithmic Sobolev inequality
We give here a simple proof of weighted logarithmic Sobolev inequality, for example for Cauchy type measures, with optimal weight, sharpening results of BobkovLedoux [12]. Some consequences are also discussed.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1987
ISSN: 0022-247X
DOI: 10.1016/0022-247x(87)90290-3