Some parameterized inequalities by means of fractional integrals with exponential kernels and their applications
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-020-02430-9
Abstract: We use the definition of a new class of fractional integral operators, recently introduced by Ahmad et al. in [J. Comput. Appl. Math. 353:120–129, 2019 ], to establish a fractional-type integral identity with one parameter.… read more here.
Keywords: parameterized inequalities; fractional integrals; inequalities means; means fractional ... See more keywords
Parameterized inequalities based on three times differentiable functions
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DOI: 10.1186/s13661-025-02032-8
Abstract: This paper presents a general identity including two real parameters for three times differentiable functions. By using this equality, we prove several inequalities by using diverse function classes such as convex function, bounded function, Lipschitzian… read more here.
Keywords: times differentiable; inequality; function; three times ... See more keywords
New Parameterized Inequalities for η-Quasiconvex Functions via (p, q)-Calculus
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DOI: 10.3390/e23111523
Abstract: In this work, first, we consider novel parameterized identities for the left and right part of the (p,q)-analogue of Hermite–Hadamard inequality. Second, using these new parameterized identities, we give new parameterized (p,q)-trapezoid and parameterized (p,q)-midpoint… read more here.
Keywords: via calculus; new parameterized; parameterized inequalities; inequalities quasiconvex ... See more keywords