A new Ostrowski type inequality on time scales
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 کاملA New Ostrowski Type Inequality on Time Scales
In this paper, by introducing a technique of parameter functions, we establish a new Ostrowski type inequality on time scales and unify corresponding continuous and discrete versions. Furthermore, some particular integral inequalities on time scales are given as special cases. Mathematics subject classification (2010): 54C30, 26D10, 26D15.
متن کاملAn Ostrowski-Grüss type inequality on time scales
for all x ∈ [a, b]. This inequality is a connection between the Ostrowski inequality [12] and the Grüss inequality [13]. It can be applied to bound some special mean and some numerical quadrature rules. For other related results on the similar integral inequalities please see the papers [6, 10, 11, 14] and the references therein. The aim of this paper is to extend a generalizations of Ostrowski...
متن کاملNew Weighted Čebyšev–ostrowski Type Integral Inequalities on Time Scales
In this paper we obtain some weighted Čebyšev-Ostrowski type integral inequalities on time scales involving functions whose first derivatives belong to Lp (a,b) (1 p ∞) . We also give some other interesting inequalities as special cases. Mathematics subject classification (2010): 26D15, 26E70.
متن کاملNew Weighted Ostrowski and Ostrowski-grüss Type Inequalities on Time Scales
In this paper we derive new weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales. Some other interesting inequalities on time scales are also given as special cases.
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 Inequalities
سال: 2016
ISSN: 1846-579X
DOI: 10.7153/jmi-10-61