Some inequalities of the type encountered in imbedding theorems
β Scribed by Kh. Sh. Mukhtarov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1970
- Tongue
- English
- Weight
- 213 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove A r -weighted imbedding theorems for differential forms. These results can be used to study the weighted norms of the homotopy operator T from the Banach space L p D β§ l to the Sobolev space W 1 p D β§ l-1 l = 1 2 n, and to establish the basic weighted L p -estimates for differential forms.
Using the restriction of the q-integral over [a, b] to a finite sum and q-integral of Riemann-type, we establish new integral inequalities of q-Chebyshev type, q-GrΓΌss type, q-Hermite-Hadamard type and Cauchy-Buniakowsky type. Some inequalities which include the boundaries of functions are also indi