New Hermite–Hadamard Inequalities in Fuzzy-Interval Fractional Calculus and Related Inequalities
نویسندگان
چکیده
It is a familiar fact that inequalities have become very popular method using fractional integrals, and this has been the driving force behind many studies in recent years. Many forms of inequality studied, resulting introduction new trend theory. The aim paper to use fuzzy order relation introduce various types inequalities. On interval space, defined level by level. With help relation, firstly, we derive some discrete Jensen Schur for convex interval-valued functions (convex fuzzy-IVF), then, present Hermite–Hadamard (HH-inequalities) fuzzy-IVF via Riemann–Liouville integrals. These outcomes are generalization number previously known results, can be deduced as result appropriate parameter “?” real valued function “?” selections. We hope our relations results used evaluate mathematical problems related real-world applications.
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 کاملNabla discrete fractional calculus and nabla inequalities
Here we define a Caputo like discrete nabla fractional difference and we produce discrete nabla fractional Taylor formulae for the first time. We estimate their remaiders. Then we derive related discrete nabla fractional Opial, Ostrowski, Poincaré and Sobolev type inequalities .
متن کاملSome Fractional Integral Inequalities in Quantum Calculus
In this paper, using the Riemann-Liouville fractional q-integral, we establish some new fractional integral inequalities by using two parameters of deformation q1 and q2.
متن کاملGeneral Minkowski type and related inequalities for seminormed fuzzy integrals
Minkowski type inequalities for the seminormed fuzzy integrals on abstract spaces are studied in a rather general form. Also related inequalities to Minkowski type inequality for the seminormed fuzzy integrals on abstract spaces are studied. Several examples are given to illustrate the validity of theorems. Some results on Chebyshev and Minkowski type inequalities are obtained.
متن کاملSome New Gronwall-Bellmann Type Discrete Fractional Inequalities Arising in the Theory of Discrete Fractional Calculus
In this paper, we present some new GronwallBellmann type discrete fractional sum inequalities, and based on them present some Volterra-Fredholm type discrete inequalities. These inequalities are of new forms compared with the existing results in the literature, and can be used in the research of boundedness and continuous dependence on the initial value for solutions of fractional difference eq...
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/sym13040673