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pro vyhledávání: '"Conformable integral"'
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Publikováno v:
Ain Shams Engineering Journal, Vol 12, Iss 4, Pp 4075-4080 (2021)
In this research paper, we discuss systems of conformable linear differential equations. The conformable fundamental exponential matrix has been used to express the solution of the homogeneous and nonhomogeneous systems. The method of variation of pa
Externí odkaz:
https://doaj.org/article/ae9e77fb66ae46ee8fbc562b039ce671
Autor:
Tahir Ullah Khan, Muhammad Adil Khan
Publikováno v:
AIMS Mathematics, Vol 6, Iss 1, Pp 23-38 (2021)
This paper is concerned to establish an advanced form of the well-known Hermite-Hadamard (HH) inequality for recently-defined Generalized Conformable (GC) fractional operators. This form of the HH inequality combines various versions (new and old) of
Externí odkaz:
https://doaj.org/article/19d2d4a7bac445fdb1bc28ad35ef0096
Autor:
Muhammad Samraiz, Fakhra Nawaz, Sajid Iqbal, Thabet Abdeljawad, Gauhar Rahman, Kottakkaran Sooppy Nisar
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-19 (2020)
Abstract In this paper, we establish certain generalized fractional integral inequalities of mean and trapezoid type for ( s + 1 ) $(s+1)$ -convex functions involving the ( k , s ) $(k,s)$ -Riemann–Liouville integrals. Moreover, we develop such int
Externí odkaz:
https://doaj.org/article/5f190f28dd3a4e5fb4fc0a819bf9e71a
Publikováno v:
AIMS Mathematics, Vol 4, Iss 3, Pp 343-358 (2019)
In the paper, the authors introduce the generalized k-fractional conformable integrals, which are the k-analogues of the recently introduced fractional conformable integrals and can be reduced to other fractional integrals under specific values of th
Externí odkaz:
https://doaj.org/article/533d1a57640f4c969451d90087b6ae45
Publikováno v:
AIMS Mathematics, Vol 5, Iss 6, Pp 5510-5520 (2020)
In this study, we introduce a new general identity for n th order differentiable functions. Also, we establish some new inequalities regarding general perturbed trapezoid inequality for the functions whose the absolute values of n th derivatives are
Externí odkaz:
https://doaj.org/article/f74240915c904274a49375e3e2018c15
Publikováno v:
AIMS Mathematics, Vol 5, Iss 5, Pp 5106-5120 (2020)
The purpose of the article is to use symmetric η-convex functions to develop Hermite-Hadamard-Fejér inequality for conformable integral. We establish several conformable integral versions of Hermite-Hadamard-Fejér type inequality for the η-convex
Externí odkaz:
https://doaj.org/article/79a5cb66be504115ac7c9f285a462493
Publikováno v:
AIMS Mathematics, Vol 5, Iss 5, Pp 4624-4643 (2020)
This paper investigates the bounds of an integral operator for several kinds of convex functions. By applying definition of (h - m)-convex function upper bounds of left sided (1.12) and right sided (1.13) integral operators are formulated which parti
Externí odkaz:
https://doaj.org/article/0d8bf52bc90d4cbc898b871adb6f35a8
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-9 (2020)
Abstract The main aim of this present paper is to establish fractional conformable inequalities for the weighted and extended Chebyshev functionals. We present some special cases of our main result in terms of the Riemann–Liouville fractional integ
Externí odkaz:
https://doaj.org/article/ba779ea83cc241178b3598cd1fb6bbfe
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-14 (2020)
Abstract The objective of this paper is to derive the bounds of fractional and conformable integral operators for (s,m) $(s,m)$-convex functions in a unified form. Further, the upper and lower bounds of these operators are obtained in the form of a H
Externí odkaz:
https://doaj.org/article/54365d5b80254046af9ea3896d007b52