Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Fatih Hezenci"'
Autor:
Fatih Hezenci, Hüseyin Budak
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-15 (2024)
Abstract In this paper, we first construct an integral identity associated with tempered fractional operators. By using this identity, we have found the error bounds for Simpson’s second formula, namely Newton–Cotes quadrature formula for differe
Externí odkaz:
https://doaj.org/article/2b73428e59fd4790945101140d48ba2a
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-16 (2024)
Abstract In the framework of tempered fractional integrals, we obtain a fundamental identity for differentiable convex functions. By employing this identity, we derive several modifications of fractional Milne inequalities, providing novel extensions
Externí odkaz:
https://doaj.org/article/f47000eecd594d47807f72f68ca1a401
Autor:
Fatih Hezenci, Hüseyin Budak
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-12 (2024)
Abstract In this paper, we prove an equality for twice-differentiable convex functions involving the conformable fractional integrals. Moreover, several Bullen-type inequalities are established for twice-differentiable functions. More precisely, conf
Externí odkaz:
https://doaj.org/article/c5e3a3cc137c4e1aaa57baeef06edb43
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-15 (2024)
Abstract In this current research, we focus on the domain of tempered fractional integrals, establishing a novel identity that serves as the cornerstone of our study. This identity paves the way for the Milne-type inequalities, which are explored thr
Externí odkaz:
https://doaj.org/article/889c79fc108a4cbfb22c890e528cc88f
Autor:
Fatih Hezenci, Hüseyin Budak
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-12 (2023)
Abstract In this paper, we obtain an equality involving tempered fractional integrals for twice-differentiable functions. By using this equality, we establish several left Hermite–Hadamard-type inequalities for the case of tempered fractional integ
Externí odkaz:
https://doaj.org/article/cfd20e82dc094649ae2d68e742fa8e80
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 29411-29423 (2023)
The latest iterations of Simpson-type inequalities (STIs) are the topic of this paper. These inequalities were generated via convex functions and tempered fractional integral operators (TFIOs). To get these sorts of inequalities, we employ the well-k
Externí odkaz:
https://doaj.org/article/a8386af2dfb647699e1f35a28b26ab46
Publikováno v:
Fractal and Fractional, Vol 8, Iss 7, p 372 (2024)
This paper aims to examine an approach that studies many Euler–Maclaurin-type inequalities for various function classes applying Riemann–Liouville fractional integrals. Afterwards, our results are provided by using special cases of obtained theor
Externí odkaz:
https://doaj.org/article/08b281da2203483783e424cea7e9f370
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-19 (2023)
Abstract The authors propose a new method of investigation of an integral identity according to conformable fractional operators. Moreover, some Newton-type inequalities are considered for differentiable convex functions by taking the modulus of the
Externí odkaz:
https://doaj.org/article/6b6edd425e4b4571b9d2a89d1ab5554c
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 20, Iss 3, Pp 97-108 (2023)
In the literature, several papers are devoted to inequalities of Simpson-type in the case of differentiable convex functions and fractional versions. Moreover, some papers are focused on inequalities of Simpson-type for twice differentiable convex fu
Externí odkaz:
https://doaj.org/article/618496ee8ce04c3eafce78574711c5a1
Publikováno v:
Boundary Value Problems, Vol 2023, Iss 1, Pp 1-16 (2023)
Abstract In this paper, new inequalities for the left and right sides of the Hermite–Hadamard inequality are acquired for twice-differentiable mappings. Conformable fractional integrals are used to derive these inequalities. Furthermore, we provide
Externí odkaz:
https://doaj.org/article/961df4cd8bcf4c19a4a78a1b79e7e83b