Extensions of Simpson’s Inequality via Nonnegative Weight Functions and Fractional Operators [PDF]
MSC2020 Classification: 26A09, 26D10, 26D15 ...
Hasan Öğünmez, Mehmet Zeki Sarikaya
doaj +3 more sources
On the Stability of Fractional Integro-Differential Equations of Ψ-Hilfer Type
MSC2020 Classification: 26A33, 26D10 ...
Malayin A. Mohammed +2 more
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An improved Hardy type inequality on Heisenberg group [PDF]
Motivated by the work of Ghoussoub and Moradifam, we prove some improved Hardy inequalities on the Heisenberg group ℍ n via Bessel function.
Xiao Ying-Xiong
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Some new nonlinear retarded sum-difference inequalities with applications [PDF]
The main objective of this paper is to establish some new retarded nonlinear sum-difference inequalities with two independent variables, which provide explicit bounds on unknown functions.
Li Zizun, Cheung Wing-Sum, Wang Wu-Sheng
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Anisotropic Picone identities and anisotropic Hardy inequalities. [PDF]
In this paper, we derive an anisotropic Picone identity for the anisotropic Laplacian, which contains some known Picone identities. As applications, a Sturmian comparison principle to the anisotropic elliptic equation and an anisotropic Hardy type ...
Feng T, Cui X.
europepmc +3 more sources
One-dimensional differential Hardy inequality. [PDF]
We establish necessary and sufficient conditions for the one-dimensional differential Hardy inequality to hold, including the overdetermined case. The solution is given in terms different from those of the known results.
Kalybay A.
europepmc +3 more sources
New Integral Inequalities Involving Generalized Riemann-Liouville Fractional Operators [PDF]
In this paper, using a generalized operator of the Riemann-Liouville type, defined and studied in a previous work, several integral inequalities for synchronous functions are established. Mathematics Subject Classification (2010): 26A33, 26D10, 47A63.
NÁPOLES VALDES, Juan Eduardo +2 more
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New midpoint and trapezoidal-type inequalities for prequasiinvex functions via generalized fractional integrals [PDF]
In this work, we establish some new midpoint and trapezoidal type inequalities for prequasiinvex functions via the Katugampola fractional integrals. Some of the results obtained in this paper are generalizations of some earlier results in the literature.
NWAEZE, Eze R., KERMAUSUOR, Seth
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Some means inequalities for positive operators in Hilbert spaces. [PDF]
In this paper, we obtain two refinements of the ordering relations among Heinz means with different parameters via the Taylor series of some hyperbolic functions and by the way, we derive new generalizations of Heinz operator inequalities.
Liang J, Shi G.
europepmc +3 more sources
Improved Hardy Inequality and Applications [PDF]
2010 Mathematics Subject Classification ...
Rangelov, Tsviatko +2 more
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