New bounds for the Ostrowski-type inequalities via conformable fractional calculus
نویسندگان
چکیده
منابع مشابه
Ostrowski type inequalities involving conformable fractional integrals
In the article, we establish several Ostrowski type inequalities involving the conformable fractional integrals. As applications, we find new inequalities for the arithmetic and generalized logarithmic means.
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In this paper, we have obtained weighted versions of Ostrowski, Čebysev and Grüss type inequalities for conformable fractional integrals which is given by Katugompola. By using the Katugampola definition for conformable calculus, the present study confirms previous findings and contributes additional evidence that provide the bounds for more general functions.
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In this study, a new identity involving conformable fractional integrals is given. Then, by using this identity, some new Hermite-Hadamard type inequalities for conformable fractional integrals have been developed.
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In this paper, using the identity proved [43]in for fractional integrals, some new Ostrowski type inequalities for Riemann-Liouville fractional integrals of functions of two variables are established. The established results in this paper generalize those results proved in [43].
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ژورنال
عنوان ژورنال: Arabian Journal of Mathematics
سال: 2018
ISSN: 2193-5343,2193-5351
DOI: 10.1007/s40065-018-0201-0