عنوان مجله
|
Sahand Communications in Mathematical Analysis
|
کلیدواژهها
|
B-O type inequality, Convolution type inequality, Hardy
type inequality, Minkowski’s inequality, Fuzzy integral inequality, Pseudo-integrals.
|
چکیده
|
In this paper, we express and prove Bushell-Okrasiaski,
Hardy and Minkowski type inequalities for two classes of pseudointegrals.
One of them, classes with pseudo-integrals where pseudooperations
are defined via a monotone and continuous generator
function. The other one concerns the pseudo-integrals based on a
semiring with an idempotent addition and a pseudo-multiplication
generator. Those are important inequalities from both mathematical
and application points of view. The established results are
based on the classical Bushell-Okrasiaski, Hardy and Minkowski’s
inequalities for integrals. Also, some examples and applications are
presented.
|