Fine behavior of functions whose gradients are in an Orlicz space
نویسندگان
چکیده
منابع مشابه
Ostrowski type inequalities for functions whose derivatives are preinvex
In this paper, making use of a new identity, we establish new inequalities of Ostrowski type for the class of preinvex functions and gave some midpoint type inequalities.
متن کاملSome Perturbed Inequalities of Ostrowski Type for Functions whose n-th Derivatives Are Bounded
We firstly establish an identity for $n$ time differentiable mappings Then, a new inequality for $n$ times differentiable functions is deduced. Finally, some perturbed Ostrowski type inequalities for functions whose $n$th derivatives are of bounded variation are obtained.
متن کاملOn the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm
The problem of strict convexity of the Besicovitch-Orlicz space of almost periodic functions is considered here in connection with the Orlicz norm. We give necessary and sufficient conditions in terms of the function φ generating the space. 2000 Mathematics Subject Classification: 46B20, 42A75.
متن کاملostrowski type inequalities for functions whose derivatives are preinvex
in this paper, making use of a new identity, we establish new inequalities of ostrowski type for the class of preinvex functions and gave some midpoint type inequalities.
متن کاملModules whose direct summands are FI-extending
A module $M$ is called FI-extending if every fully invariant submodule of $M$ is essential in a direct summand of $M$. It is not known whether a direct summand of an FI-extending module is also FI-extending. In this study, it is given some answers to the question that under what conditions a direct summand of an FI-extending module is an FI-extending module?
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2009
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm190-1-2