Generalizations of Hardy’s Type Inequalities via Conformable Calculus
نویسندگان
چکیده
In this paper, we derive some new fractional extensions of Hardy’s type inequalities. The corresponding reverse relations are also obtained by using the conformable calculus from which classical integral inequalities deduced as special cases at ?=1.
منابع مشابه
Some Weighted Integral Inequalities for Generalized Conformable Fractional Calculus
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.
متن کاملHermite-hadamard Type Inequalities via Conformable Fractional Integrals
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.
متن کاملOstrowski 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.
متن کاملSome generalizations of Hermite–Hadamard type inequalities
Some generalizations and refinements of Hermite-Hadamard type inequalities related to [Formula: see text]-convex functions are investigated. Also applications for trapezoid and mid-point type inequalities are given.
متن کاملOn Feng Qi-type Integral Inequalities for Conformable Fractional Integrals
In this paper, we establish the generalized Qi-type inequality involving conformable fractional integrals. The results presented here would provide extensions of those given in earlier works. 1. Introduction In the last few decades, much signi cant development of integral inequalities had been established. Integral inequalities have been frequently employed in the theory of applied sciences, di...
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: Symmetry
سال: 2021
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym13020242