Wyniki wyszukiwania - Biblioteka Nauki

Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl

Ograniczanie wyników

Znaleziono wyników: 4

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: nierówność Opiala

Sortuj według:

Ogranicz wyniki do:

On Opial-type inequality for a generalized fractional integral operator

100%

Vivas-Cortez M. , Martínez F. , Valdes J. E. N. , Hernández J. E.

Demonstratio Mathematica

2022

tom Vol. 55, nr 1

695--709

This article is aimed at establishing some results concerning integral inequalities of the Opial type in the fractional calculus scenario. Specifically, a generalized definition of a fractional integral operator is introduced from a new Raina-type special function, and with certain results proposed in previous publications and the choice of the parameters involved, the established results in the work are obtained. In addition, some criteria are established to obtain the aforementioned inequalities based on other integral operators. Finally, a more generalized definition is suggested, with which interesting results can be obtained in the field of fractional integral inequalities.

Integral inequalities associated with inequalities of Opial type

100%

Florkiewicz B. , Kuchta M.

Bulletin of the Polish Academy of Sciences. Mathematics

2002

tom Vol. 50, no 1

41-45

We derive some new integral inequalities of the form: [...], h [belongs to] H, where I = (alpha, beta), -[infinity is less than or equal alpha < beta is less than or equal infinity], p > 0, H is a wide class of absolutely continuous functions h defined on I and satisfying the limit conditions h(alpha) = 0 or h(beta) = 0, the functions r, s and u are any set of functions related by the appropriate weight functions. To get the desired inequality, at first we derive an integral inequality of Opial type using a uniform method of obtaining integral inequalities with weight functions involving the function and its derivative [2].

Some new generalizations of Maroni inequality on time scales

84%

Yin L. , Zhao C.

tom Vol. 46, nr 4

645--654

The aim of present paper is to establish some new integral inequalities on time scales involving several functions and their derivatives which in the special cases yield the well known Maroni inequality and some of its generalizations.

Generalizations of Opial-type inequalities in several independent variables

84%

Andric M. , Barbir A. , Pečarić J. , Roqia G.

tom Vol. 47, nr 4

839--847

In this paper, we consider Willett’s and Rozanova’s generalizations of Opial’s inequality and extend them to inequalities in several independent variables. Also, we present some new Opial-type inequalities in several independent variables.