On Fejér Type Inequalities via (p,q)-Calculus
Open Access
Abstract
In this paper, we use -integral to establish some Fejér type inequalities. In particular, we generalize and correct existing results of quantum Fejér type inequalities by using new techniques and showing some problematic parts of those results. Most of the inequalities presented in this paper are significant extensions of results which appear in existing literatures.
Keywords
This publication has 33 references indexed in Scilit:
- Some quantum estimates for Hermite–Hadamard inequalitiesApplied Mathematics and Computation, 2015
- Quantum integral inequalities on finite intervalsJournal of Inequalities and Applications, 2014
- Quantum calculus on finite intervals and applications to impulsive difference equationsAdvances in Difference Equations, 2013
- On nonlocal boundary value problems of nonlinear q-difference equationsAdvances in Difference Equations, 2012
- A study of second-order q-difference equations with boundary conditionsAdvances in Difference Equations, 2012
- New Existence Results for Nonlinear Fractional Differential Equations with Three-Point Integral Boundary ConditionsAdvances in Difference Equations, 2011
- On the Weighted Generalization of the Hermite-Hadamard Inequality and its ApplicationsRocky Mountain Journal of Mathematics, 2009
- Integral inequalities in q-calculusComputers & Mathematics with Applications, 2004
- A (p, q)-oscillator realization of two-parameter quantum algebrasJournal of Physics A: General Physics, 1991
- q-Difference EquationsAmerican Journal of Mathematics, 1910