A restricted class of convex functions
نویسندگان
چکیده
منابع مشابه
Retrieving Convex Bodies from Restricted Covariogram Functions
The covariogram gK(x) of a convex body K ⊆ E is the function which associates to each x ∈ E the volume of the intersection of K with K+x. Matheron [Mat86] asked whether gK determines K, up to translations and reflections in a point. Positive answers to Matheron’s question have been obtained for large classes of planar convex bodies, while for d ≥ 3 there are both positive and negative results. ...
متن کاملSingular values of convex functions of matrices
Let $A_{i},B_{i},X_{i},i=1,dots,m,$ be $n$-by-$n$ matrices such that $sum_{i=1}^{m}leftvert A_{i}rightvert ^{2}$ and $sum_{i=1}^{m}leftvert B_{i}rightvert ^{2}$ are nonzero matrices and each $X_{i}$ is positive semidefinite. It is shown that if $f$ is a nonnegative increasing convex function on $left[ 0,infty right) $ satisfying $fleft( 0right) =0 $, then $$2s_{j}left( fleft( fra...
متن کاملNew inequalities for a class of differentiable functions
In this paper, we use the Riemann-Liouville fractionalintegrals to establish some new integral inequalities related toChebyshev's functional in the case of two differentiable functions.
متن کاملa contrastive study of rhetorical functions of citation in iranian and international elt scopus journals
writing an academic article requires the researchers to provide support for their works by learning how to cite the works of others. various studies regarding the analysis of citation in m.a theses have been done, while little work has been done on comparison of citations among elt scopus journal articles, and so the dearth of research in this area demands for further investigation into citatio...
New Criteria for Functions to Be in a Class of p-Valent Alpha Convex Functions
We obtain certain simple sufficiency criteria for a class of p-valent alpha convex functions. Many known results appear as special consequences of our work. Some applications of our work to the generalized integral operator are also given.
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: Bulletin of the American Mathematical Society
سال: 1946
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1946-08519-5