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Zeszyty Naukowe. Matematyka / Politechnika Opolska
1999 z. 15 99-115
PL W pracy przeprowadza się analizę klasy funkcji spełniających pewne kwadratowe nierówności całkowe drugiego rzędu w zależności od wartości granicznych pewnych funkcji.
EN In the paper the classes of functions fulfilling some quadratic integral inequalities of the second order are described on limit values of some functions.
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Demonstratio Mathematica
EN New results, generalizations and improvements concerning several integral inequalities are obtained.
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Demonstratio Mathematica
EN Inequalities concerning the distance between a function and some integrals on infinite intervals are given.
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Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
EN Let alphis an element of [0,1]. A function f :I -> R (0 is an element of I) is said to be alpha-star-convex on [...]. In this note we will present new geometric interpretation of alpha-star-convex functions and some Hadamards' like integral inequalities for such functions.
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Demonstratio Mathematica
EN An inequality of the Lupas, type for Cebysev functionals is established.
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Demonstratio Mathematica
2019 Vol. 52, nr 1 204--212
EN In this study we introduced and tested retarded conformable fractional integral inequalities utilizing non-integer order derivatives and integrals. In line with this purpose, we used the Katugampola type conformable fractional calculus which has several practical properties. These inequalities gener[...]
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Demonstratio Mathematica
EN The aim of this note is to establish two new Gruss type integral inequalities involving functions and their derivatives by using a fairly elementary analysis.
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Demonstratio Mathematica
2019 Vol. 52, nr 1 475--481
EN The goal of this paper is to give an Ulam-Hyers stability result for a parabolic partial differential equation. Here we present two types of Ulam stability: Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability. Some examples are given, one of them being the Black-Scholes equation.
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