Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Samet Erden"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-17 (2024)
Abstract In this study, we firstly derive a Wirtinger-type result, which gives the connection in between the integral of square of a function and the integral of square of its Caputo fractional derivatives with the help of left-sided and right-sided
Externí odkaz:
https://doaj.org/article/183271b39a2e4e0fb3dab6dfb7722f9a
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 20, Iss 2, Pp 85-107 (2023)
We first construct new Hermite-Hadamard type inequalities which include generalized fractional integrals for convex functions by using an operator which generates some significant fractional integrals such as Riemann-Liouville fractional and the Hada
Externí odkaz:
https://doaj.org/article/2f228c455d044fd999326316212d803f
Publikováno v:
AIMS Mathematics, Vol 6, Iss 1, Pp 362-377 (2021)
First of all, we establish an identity for higher-order differentiable functions. Then, we prove some integral inequalities for mappings that have continuous derivatives up to the order $n-1$ with $n\geq 1$ and whose n-th derivatives are the element
Externí odkaz:
https://doaj.org/article/d2fd02f1b9a24a0185fa8e290d350bee
Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-23 (2021)
Abstract In this paper, first we obtain a new identity for quantum integrals, the result is then used to prove midpoint type inequalities for differentiable coordinated convex mappings. The outcomes provided in this article are an extension of the co
Externí odkaz:
https://doaj.org/article/09bd14bd449e4ae99bcc74375c295302
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-11 (2020)
Abstract We first establish some results involving Riemann–Liouville fractional integrals for partially differentiable functions. Then we obtain some fractional Ostrowski type inequalities for functions in class of functions L p $L_{p}$ , L ∞ $L_
Externí odkaz:
https://doaj.org/article/1faf6957b7124cb0b2c23240ce3b8f67
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-14 (2020)
Abstract A new auxiliary result based on a three step quadratic kernel utilizing the concepts of local fractional calculus is obtained. Using this new auxiliary result we have several new Newton type inequalities whose power q of local fractional der
Externí odkaz:
https://doaj.org/article/5a1f1023ba0f4c63a0b7763bcb498cf7
Publikováno v:
Fractal and Fractional, Vol 6, Iss 1, p 33 (2022)
Inequality theory has attracted considerable attention from scientists because it can be used in many fields. In particular, Hermite–Hadamard and Simpson inequalities based on convex functions have become a cornerstone in pure and applied mathemati
Externí odkaz:
https://doaj.org/article/8f250a9b08ff4d74bda849b9a74bc008
Autor:
Pimchana Siricharuanun, Samet Erden, Muhammad Aamir Ali, Hüseyin Budak, Saowaluck Chasreechai, Thanin Sitthiwirattham
Publikováno v:
Mathematics, Vol 9, Iss 16, p 1992 (2021)
In this paper, using the notions of qκ2-quantum integral and qκ2-quantum derivative, we present some new identities that enable us to obtain new quantum Simpson’s and quantum Newton’s type inequalities for quantum differentiable convex function
Externí odkaz:
https://doaj.org/article/186fa5ff353046b0a35a5b4fcd644a4c
Publikováno v:
International Journal of Analysis and Applications, Vol 14, Iss 1, Pp 88-98 (2017)
Firstly we give a important integral inequality which is generalized Steffensen’s inequality. Then, we establish weighted version of generalized Steffensen’s inequality for local fractional integrals. Finally, we obtain several inequalities relat
Externí odkaz:
https://doaj.org/article/52d8c871e7c049acbd4e389c5d0cbd0f
Publikováno v:
International Journal of Analysis and Applications, Vol 14, Iss 1, Pp 9-19 (2017)
In this paper, firstly we extend some generalization of the Hermite-Hadamard inequality and Bullen inequality to generalized convex functions. Then, we give some important integral inequalities related to these inequalities.
Externí odkaz:
https://doaj.org/article/d4912464482342b1904ad1abb73bfff8