Mercer type inequalities for normalised isotonic linear functionals with applications
نویسندگان
چکیده
منابع مشابه
Ostrowski Type Inequalities for Isotonic Linear Functionals
Some inequalities of Ostrowski type for isotonic linear functionals defined on a linear class of function L := {f : [a, b] → R} are established. Applications for integral and discrete inequalities are also given.
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15 صفحه اولChebyshev and Grüss Type Inequalities Involving Two Linear Functionals and Applications
In the present paper we prove the Chebyshev inequality involving two isotonic linear functionals. Namely, if A and B are isotonic linear functionals, then A(p f g)B(q)+A(p)B(q f g) A(p f )B(qg) + A(pg)B(q f ) , where p,q are non-negative weights and f ,g are similarly ordered functions such that the above-mentioned terms are well-defined. If functionals are equal, i.e. A = B and if p = q , then...
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ژورنال
عنوان ژورنال: Publicationes Mathematicae Debrecen
سال: 2023
ISSN: ['0033-3883', '2064-2849']
DOI: https://doi.org/10.5486/pmd.2023.9365