Exploring the Companion of Ostrowski's Inequalities via Local Fractional Integrals
نویسندگان
چکیده
This paper investigates the companion of Ostrowski's inequality in framework fractal sets. First, a new identity related to local fractional integrals is introduced, serving as foundation for establishing set inequalities applicable functions with generalized $s$-convex and $s$-concave derivatives. An illustrative example presented validate obtained results, demonstrating their accuracy. Additionally, discusses several practical applications, highlighting significance established inequalities. The research this contributes growing field studying on sets, which has attracted considerable interest from scientists engineers.
منابع مشابه
Discussion of some inequalities via fractional integrals
Recently, many generalizations and extensions of well-known inequalities were obtained via different kinds of fractional integrals. In this paper, we show that most of those results are particular cases of (or equivalent to) existing inequalities from the literature. As consequence, such results are not real generalizations.
متن کاملOn Generalizations of Hadamard Inequalities for Fractional Integrals
Fej'{e}r Hadamard inequality is generalization of Hadamard inequality. In this paper we prove certain Fej'{e}r Hadamard inequalities for $k$-fractional integrals. We deduce Fej'{e}r Hadamard-type inequalities for Riemann-Liouville fractional integrals. Also as special case Hadamard inequalities for $k$-fractional as well as fractional integrals are given.
متن کاملOn generalized some integral inequalities for local fractional integrals
In this study, we establish generaized Grüss type inequality and some generaized Cebysev type inequalities for local fractional integrals on frac-tal sets R (0 < 1) of real line numbers.
متن کاملHermite-Hadamard’s Inequalities for Preinvex Function via Fractional Integrals and Related Fractional Inequalities
This doubly inequality is known in the literature as Hermite-Hadamard integral inequality for convex mapping.We note that Hadamard’s inequality may be regarded as a refinement of the concept of convexity and it follows easily from Jensen’s inequality. For several recent results concerning the inequality (1) we refer the interested reader to [3,5,6,8,9,11,18,21,22] and the references cited there...
متن کاملCertain Hermite-Hadamard type inequalities via generalized k-fractional integrals
Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named [Formula: see text]-Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established. Also, by using the obtained identity, we get a Hermite-Hadamard type inequality.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: European Journal of Pure and Applied Mathematics
سال: 2023
ISSN: ['1307-5543']
DOI: https://doi.org/10.29020/nybg.ejpam.v16i3.4850