Some integral inequalities via (p,q)-calculus on finite intervals
نویسندگان
چکیده
The aim of this paper is to construct (p,q)-calculus on finite intervals. (pk,qk)-derivative and (pk,qk)-integral are defined some basic properties given. Also, (pk,qk)-analogue H?lder, Minkowski integral inequalities proved.
منابع مشابه
Some new Grüss type quantum integral inequalities on finite intervals
In this paper, we establish some new Grüss type quantum integral inequalities on finite intervals. Furthermore, some related quantum integral inequalities are also considered.
متن کاملSome 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 کاملOn Some New Impulsive Integral Inequalities
Differential and integral inequalities play a fundamental role in global existence,uniqueness, stability, and other properties of the solutions of various nonlinear differential equations; see 1–4 . A great deal of attention has been given to differential and integral inequalities; see 1, 2, 5–8 and the references given therein. Motivated by the results in 1, 5, 7 , the main purpose of this pap...
متن کاملSome inequalities for the q-beta and the q-gamma functions via some q-integral inequalities
Some new inequalities for the q-gamma, the q-beta and the q-analogue of the Psi functions are established via some q-integral inequalities. In classical analysis, integral inequalities have been well-developed and leading to a wide variety of applications in mathematics and physics (see [11–13] and references therein). In a survey paper [4], Dragomir et al. used certain clever integral inequali...
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: Filomat
سال: 2021
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2105421t