Results 81 to 90 of about 548 (151)
Nonautonomous Dynamical Systems, 2018 By using of generalized Opial’s type inequality on time scales, a new oscillation criterion is given for a singular initial-value problem of second-order dynamic equation on time scales. Some oscillatory results of its generalizations are also presented.
Negi Shekhar Singh +2 more
doaj +1 more source
Chebyshev type inequalities for conformable fractional integrals
Miskolc Mathematical Notes, 2019 In this article, firstly some necessary definitions and results involving fractional integrals are given. Secondly, a new identity involving conformable fractional integrals is given.
E. Set, A. Akdemi̇r, İ. Mumcu
semanticscholar +1 more source
Fractional Differential Calculus, 2020 In this paper we establish some Ostrowski and trapezoid type inequalities for the Riemann-Liouville fractional integrals of absolutely continuous functions with bounded derivatives.
S. Dragomir
semanticscholar +1 more source
Journal of Inequalities and Applications, 2011 In this paper, some new nonlinear delay integral inequalities on time scales are established, which provide a handy tool in the research of boundedness of unknown functions in delay dynamic equations on time scales.
Zhang Yaoming +4 more
doaj
Dilation Type Inequalities for Strongly-Convex Sets in Weighted Riemannian Manifolds
Analysis and Geometry in Metric Spaces, 2021 In this paper, we consider a dilation type inequality on a weighted Riemannian manifold, which is classically known as Borell’s lemma in high-dimensional convex geometry.
Tsuji Hiroshi
doaj +1 more source
On iterated and bilinear integral Hardy-type operators
Mathematical Inequalities & Applications, 2019 We characterize the weighted inequalities on Lebesgue cone of all nonnegative functions on the semi-axis for iterated integral operators with Oinarov kernels. Mathematics subject classification (2010): 26D10, 46E20.
V. Stepanov, G. Shambilova
semanticscholar +1 more source
Strongly MφMψ -Convex Functions, The Hermite–Hadamard–Fejér Inequality and Related Results
Annales Mathematicae SilesianaeWe present Hermite–Hadamard–Fejér type inequalities for strongly MφMψ -convex functions. Some refinements of them and bounds for the integral mean of the product of two functions are also obtained.
Bombardelli Mea, Varošanec Sanja
doaj +1 more source
Improvements of generalized Hölder's inequalities and their applications
, 2018 In this paper, we present some new improvements of generalized Hölder’s inequalities, and then we obtain a new refinement of Minkowski inequality. Moreover, the obtained results are used to improve Chung’s inequality and Beckenbach-type inequality ...
Jing-feng Tian, M. Ha, C. A. Wang
semanticscholar +1 more source
Demonstratio MathematicaGenerally, fractional partial integro-differential equations (FPIDEs) play a vital role in modeling various complex phenomena. Because of the several applications of FPIDEs in applied sciences, mathematicians have taken a keen interest in developing and ...
Khan Qasim +4 more
doaj +1 more source
Miskolc Mathematical Notes, 2019 In this work, firstly, we established Hermite-Hadamard’s inequalities for harmonically convex functions via Katugampola fractional integrals. Then we give some Hermite-Hadamard type inequalities of these classes functions.
İ. Mumcu, E. Set, A. Akdemi̇r
semanticscholar +1 more source