A companion of Ostrowski's inequality for mappings whose first derivatives are bounded and applications in numerical integration
A note on a general difference-functional equation.
A note on Hölder's inequality
A Note on Lipschitz Classes.
An elementary proof of the Harnack inequality for non-negative infinity-superharmonic functions.
An elementary proof of the preservation of Lipschitz constants by the Meyer-König and Zeller operators.
Approximate and Peano derivatives of nonintegral order
Let n be a nonnegative integer and let u ∈ (n,n+1]. We say that f is u-times Peano bounded in the approximate (resp. , 1 ≤ p ≤ ∞) sense at if there are numbers , |α| ≤ n, such that is in the approximate (resp. ) sense as h → 0. Suppose f is u-times Peano bounded in either the approximate or sense at each point of a bounded measurable set E. Then for every ε > 0 there is a perfect set Π ⊂ E and a smooth function g such that the Lebesgue measure of E∖Π is less than ε and f = g on Π....