Yazar "Agarwal, P." seçeneğine göre listele

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    NEW GENERALIZED MIDPOINT TYPE INEQUALITIES FOR FRACTIONAL INTEGRAL
    (Univ Miskolc Inst Math, 2019) Budak, Hüseyin; Agarwal, P.
    Here, our first aim to establish a new identity for differentiable function involving Riemann-Liouville fractional integrals. Then, we obtain same generalized midpoint type inequalities utilizing convex and concave function.
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    On Hermite–Hadamard-Type Inequalities for Coordinated Convex Mappings Utilizing Generalized Fractional Integrals
    (Springer, 2019) Budak, Hüseyin; Agarwal, P.
    In this chapter, we obtain the Hermite–Hadamard-type inequalities for coordinated convex function via generalized fractional integrals, which generalize some important fractional integrals such as the Riemann–Liouville fractional integrals, the Hadamard fractional integrals, and Katugampola fractional integrals. The results given in this chapter provide a generalization of several inequalities obtained in earlier studies. © 2019, Springer Nature Singapore Pte Ltd.
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    On some new trapezoidal inequalities for q?2 -quantum integrals via Green function
    (Springer Science and Business Media B.V., 2021) Ali, M. A.; Alp, N.; Budak, Hüseyin; Agarwal, P.
    In this paper, we first obtain a new identity for q?2-quantum integrals by using Green function, the result is then used to establish some new bounds for the right hand side of q?2-Hermite Hadamard inequality. It is also revealed that the results presented in this research transformed into some already proved results by considering the limits as q? 1 - in the newly obtained results. © 2021, Forum D'Analystes, Chennai.
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    S-convex functions on discrete time domains
    (Walter de Gruyter GmbH, 2017) Yaldız, Hatice; Agarwal, P.
    In the present work, we give the definition of an s-convex functions for a convex real-valued function f defined on the set of integers ?. We state and prove the discrete Hermite-Hadamard inequality for s-convex functions by using the basics of discrete calculus (i.e. the calculus on ?). Finally, we state and prove the discrete fractional Hermite-Hadamard inequality for s-convex functions by using the basics of discrete fractional calculus. © 2017 Walter de Gruyter GmbH, Berlin/Boston 2017.