Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Çetin YILDIZ"'
Publikováno v:
Fractal and Fractional, Vol 8, Iss 8, p 472 (2024)
In this research, we demonstrate novel Hermite–Hadamard–Mercer fractional integral inequalities using a wide class of fractional integral operators (the Raina fractional operator). Moreover, a new lemma of this type is proved, and new identities
Externí odkaz:
https://doaj.org/article/1ef7fb280c704e15a1f94fd68600925d
Autor:
Yaqun Niu, Rana Safdar Ali, Naila Talib, Shahid Mubeen, Gauhar Rahman, Çetin Yildiz, Fuad A. Awwad, Emad A. A. Ismail
Publikováno v:
Journal of Function Spaces, Vol 2024 (2024)
The extension of interval-valued and real-valued functions known as fuzzy interval-valued function (FIVF) has made substantial contributions to the theory of interval analysis. In this article, we explore the importance of h-Godunova-Levin fuzzy conv
Externí odkaz:
https://doaj.org/article/eb53068386a647428695c4c16174334a
Publikováno v:
Fractal and Fractional, Vol 8, Iss 5, p 302 (2024)
In the present paper, utilizing a wide class of fractional integral operators (namely the Raina fractional operator), we develop novel fractional integral inequalities of the Hermite–Hadamard type. With the help of the well-known Riemann–Liouvill
Externí odkaz:
https://doaj.org/article/f667fc42bb4b4a56b1914f6bbe1665de
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-16 (2023)
Abstract In this work, we established some new general integral inequalities of Hermite–Hadamard type for s-convex functions. To obtain these inequalities, we used the Hölder inequality, power-mean integral inequality, and some generalizations ass
Externí odkaz:
https://doaj.org/article/d3e14689206a48ee89cdc8710fe3a723
Publikováno v:
Journal of Mathematics, Vol 2023 (2023)
For s-convex functions, the Hermite–Hadamard inequality is already well-known in convex analysis. In this regard, this work presents new inequalities associated with the left-hand side of the Hermite–Hadamard inequality for s-convexity by utilizi
Externí odkaz:
https://doaj.org/article/2fb0769de46d4b938ade4ebc0f919a77
Autor:
Shahid Mubeen, Rana Safdar Ali, Yasser Elmasry, Ebenezer Bonyah, Artion Kashuri, Gauhar Rahman, Çetin Yildiz
Publikováno v:
Journal of Mathematics, Vol 2023 (2023)
The main goal of this paper is to describe the new version of extended Bessel–Maitland function and discuss its special cases. Then, using the aforementioned function as their kernels, we develop the generalized fractional integral and differential
Externí odkaz:
https://doaj.org/article/3ec5d5c5826e48efbe43f8e0831d6473
Publikováno v:
Axioms, Vol 12, Iss 10, p 931 (2023)
For all convex functions, the Hermite–Hadamard inequality is already well known in convex analysis. In this regard, Hermite–Hadamard and Ostrowski type inequalities were obtained using exponential type convex functions in this work. In addition,
Externí odkaz:
https://doaj.org/article/6d62c13548ad46c6a03d1107cada958a
Autor:
Gauhar Rahman, Miguel Vivas-Cortez, Çetin Yildiz, Muhammad Samraiz, Shahid Mubeen, Mansour F. Yassen
Publikováno v:
Fractal and Fractional, Vol 7, Iss 9, p 683 (2023)
The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The Ostrowski’s type inequality is frequently used to investigate errors in numerical quadrature rules and computations. In this work, Ostrowski-type i
Externí odkaz:
https://doaj.org/article/b38d53b1e4474197932f3f5bd31981d9
Publikováno v:
Fractal and Fractional, Vol 7, Iss 3, p 216 (2023)
In this article, we demonstrated various Hermite–Hadamard and Fejér type inequalities for modified h-convex functions. We showed several inequalities for the products of two modified h-convex functions. New identities related to inequalities in va
Externí odkaz:
https://doaj.org/article/e9bf2e45b11d419d8b4de4adb5af067b
Autor:
Çetin Yildiz, Luminiţa-Ioana Cotîrlă
Publikováno v:
Fractal and Fractional, Vol 7, Iss 2, p 161 (2023)
For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in the literature. In this regard, this paper presents the Hermite–Hadamard inequalities for k-Riemann–Liouville fractional integral
Externí odkaz:
https://doaj.org/article/5274f745ca9c401882ec4ece996d97b1