Browsing by Author "Kashuri, Artion"

Now showing 1 - 6 of 6

Citation Count: Botmart, Thongchai...et.al. (2023). "Certain midpoint-type Feje acute accent r and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel", AIMS Mathematics, Vol.8, No.3, pp.5616-5638.
Certain midpoint-type Feje acute accent r and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel
(2023) Botmart, Thongchai; Sahoo, Soubhagya Kumar; Kodamasingh, Bibhakar; Latif, Muhammad Amer; Jarad, Fahd; Kashuri, Artion; 234808
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.
Citation Count: Botmart, Thongchai...et.al. (2023). "Certain midpoint-type Fejer and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel (vol 8, pg 5616, 2023)", AIMS Mathematics, Vol.8, No.6, pp.13785-13786.
Certain midpoint-type Fejer and Hermite-Hadamard inclusions involving fractional integrals with an exponential function in kernel (vol 8, pg 5616, 2023)
(2023) Botmart, Thongchai; Sahoo, Soubhagya Kumar; Kodamasingh, Bibhakar; Latif, Muhammad Amer; Jarad, Fahd; Kashuri, Artion; 234808
Citation Count: Srivastava, Hari Mohan...et al. (2021). "Fractional integral inequalities for exponentially nonconvex functions and their applications", Fractal and Fractional, Vol. 5, No. 3.
Fractional integral inequalities for exponentially nonconvex functions and their applications
(2021) Srivastava, Hari Mohan; Kashuri, Artion; Mohammed, Pshtiwan Othman; Baleanu, Dumitru; Hamed, Y.S.; 56389
In this paper, the authors define a new generic class of functions involving a certain modified Fox–Wright function. A useful identity using fractional integrals and this modified Fox– Wright function with two parameters is also found. Applying this as an auxiliary result, we establish some Hermite–Hadamard-type integral inequalities by using the above-mentioned class of functions. Some special cases are derived with relevant details. Moreover, in order to show the efficiency of our main results, an application for error estimation is obtained as well. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
Citation Count: Baleanu, Dumitru...et al. (2021). "General Raina fractional integral inequalities on coordinates of convex functions", Advances in Difference Equation, Vol. 2021, No. 1.
General Raina fractional integral inequalities on coordinates of convex functions
(2021) Baleanu, Dumitru; Kashuri, Artion; Mohammed, Pshtiwan Othman; Meftah, Badreddine; 56389
Integral inequality is an interesting mathematical model due to its wide and significant applications in mathematical analysis and fractional calculus. In this study, authors have established some generalized Raina fractional integral inequalities using an (l1, h1) -(l2, h2) -convex function on coordinates. Also, we obtain an integral identity for partial differentiable functions. As an effect of this result, two interesting integral inequalities for the (l1, h1) -(l2, h2) -convex function on coordinates are given. Finally, we can say that our findings recapture some recent results as special cases. © 2021, The Author(s).
Citation Count: Sahoo, Soubhagya Kumar;...et.al. (2022). "Hermite-Hadamard type inclusions via generalized Atangana-Baleanu fractional operator with application", AIMS Mathematics, Vol.7, No.7, pp.12303-12321.
Hermite-Hadamard type inclusions via generalized Atangana-Baleanu fractional operator with application
(2022) Sahoo, Soubhagya Kumar; Jarad, Fahd; Kodamasingh, Bibhakar; Kashuri, Artion; 234808
Defining new fractional operators and employing them to establish well-known integral inequalities has been the recent trend in the theory of mathematical inequalities. To take a step forward, we present novel versions of Hermite-Hadamard type inequalities for a new fractional operator, which generalizes some well-known fractional integral operators. Moreover, a midpoint type fractional integral identity is derived for differentiable mappings, whose absolute value of the first-order derivatives are convex functions. Moreover, considering this identity as an auxiliary result, several improved inequalities are derived using some fundamental inequalities such as Hölder-İşcan, Jensen and Young inequality. Also, if we take the parameter ρ = 1 in most of the results, we derive new results for Atangana-Baleanu equivalence. One example related to matrices is also given as an application.
Citation Count: Mohammed, Pshtiwan Othman...et al. (2020). "New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions", Journal of Inequalities and Applications, Vol. 2020, No. 1.
New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions
(2020) Mohammed, Pshtiwan Othman; Abdeljawad, Thabet; Baleanu, Dumitru; Kashuri, Artion; Hamasalh, Faraidun; Agarwal, Praveen; 56389
A specific type of convex functions is discussed. By examining this, we investigate new Hermite–Hadamard type integral inequalities for the Riemann–Liouville fractional operators involving the generalized incomplete gamma functions. Finally, we expose some examples of special functions to support the usefulness and effectiveness of our results. © 2020, The Author(s).