Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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  • Article
    Citation - WoS: 10
    Citation - Scopus: 10
    Certain Midpoint-Type Feje Acute Accent R and Hermite-Hadamard Inclusions Involving Fractional Integrals With an Exponential Function in Kernel
    (Amer inst Mathematical Sciences-aims, 2023) Sahoo, Soubhagya Kumar; Kodamasingh, Bibhakar; Latif, Muhammad Amer; Jarad, Fahd; Kashuri, Artion; Botmart, Thongchai
    In this paper, using positive symmetric functions, we offer two new important identities of fractional integral form for convex and harmonically convex functions. We then prove new variants of the Hermite-Hadamard-Fejer type inequalities for convex as well as harmonically convex functions via fractional integrals involving an exponential kernel. Moreover, we also present improved versions of midpoint type Hermite-Hadamard inequality. Graphical representations are given to validate the accuracy of the main results. Finally, applications associated with matrices, q-digamma functions and modifed Bessel functions are also discussed.
  • Article
    Citation - WoS: 13
    Citation - Scopus: 16
    Hermite-Hadamard Type Inequalities Via Fractional Integral of a Function Concerning Another Function
    (Amer inst Mathematical Sciences-aims, 2021) Samraiz, Muhammad; Perveen, Zahida; Iqbal, Sajid; Nisar, Kottakkaran Sooppy; Rahman, Gauhar; Baleanu, Dumitru
    In this paper, we at first develop a generalized integral identity by associating RiemannLiouville (RL) fractional integral of a function concerning another function. By using this identity estimates for various convexities are accomplish which are fractional integral inequalities. From our results, we obtained bounds of known fractional results which are discussed in detail. As applications of the derived results, we obtain the mid-point-type inequalities. These outcomes might be helpful in the investigation of the uniqueness of partial differential equations and fractional boundary value problems.