New Modifications of Integral Inequalities via ?-Convexity Pertaining to Fractional Calculus and Their Applications
نویسندگان
چکیده
Integral inequalities for ?-convex functions are established by using a generalised fractional integral operator based on Raina’s function. Hermite–Hadamard type inequality is presented via operator. A novel parameterized auxiliary identity involving proposed differentiable mappings. By identity, we derive several Ostrowski whose absolute values It that the obtained outcomes exhibit classical convex and harmonically which have been verified Riemann–Liouville integral. Several generalisations special cases carried out to verify robustness efficiency of suggested scheme in matrices Fox–Wright hypergeometric functions.
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 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 کاملSome New Delay Integral Inequalities Based on Modified Riemann-Liouville Fractional Derivative and Their Applications
By using the properties of modified Riemann-Liouville fractional derivative, some new delay integral inequalities have been studied. First, we offered explicit bounds for the unknown functions, then we applied the results to the research concerning the boundness, uniqueness and continuous dependence on the initial for solutions to certain fractional differential equations.
متن کاملGeneralized Convexity and Integral Inequalities
In this paper, we consider a very useful and significant class of convex sets and convex functions that is relative convex sets and relative convex functions which was introduced and studied by Noor [20]. Several new inequalities of Hermite-Hadamard type for relative convex functions are established using different approaches. We also introduce relative h-convex functions and is shown that rela...
متن کاملIntegral Inequalities and Their Applications to the Calculus of Variations on Time Scales
We discuss the use of inequalities to obtain the solution of certain variational problems on time scales.
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: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9151753