Results 21 to 30 of about 1,323 (132)
Montgomery identity and Ostrowski-type inequalities via quantum calculus
Open Mathematics, 2021 In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus.
Sitthiwirattham Thanin +4 more
doaj +1 more source
Summability of a Tchebysheff system of functions
Journal of Function Spaces, Volume 8, Issue 1, Page 87-102, 2010., 2010 We consider a special type of Tchebysheff systems of functions {ui(⋅)}in=0 and {Vi(⋅)}in=0 defined on the intervals (0, 1] and [1,+∞), respectively, such that ui(t)=tα0∫t1t1α1∫t11t2α2…∫ti−11tiαidtidti−1…dt1 and ui(t)=tβ0∫1tt1β1∫1t1t2β2…∫1ti−1tiβidtidti−1…dt1.
Z. T. Abdikalikova +2 more
wiley +1 more source
On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions
Open Mathematics, 2021 The present paper aims to find some new midpoint-type inequalities for twice quantum differentiable convex functions. The consequences derived in this paper are unification and generalization of the comparable consequences in the literature on midpoint ...
Ali Muhammad Aamir +4 more
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The Perturbed Median Principle for Integral Inequalities with Applications [PDF]
, 2009 In this paper a perturbed version of the Median Principle introduced by the author in 'The median principle for inequalities and applications' is developed.
Dragomir, Sever S
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Some new refinements of strengthened Hardy and Pólya–Knopp′s inequalities
Journal of Function Spaces, Volume 7, Issue 2, Page 167-186, 2009., 2009 We prove a new general one‐dimensional inequality for convex functions and Hardy–Littlewood averages. Furthermore, we apply this result to unify and refine the so‐called Boas′s inequality and the strengthened inequalities of the Hardy–Knopp–type, deriving their new refinements as special cases of the obtained general relation. In particular, we get new
Aleksandra Čižmešija +3 more
wiley +1 more source
On Bellman‐Golubov theorems for the Riemann‐Liouville operators
Journal of Function Spaces, Volume 7, Issue 3, Page 289-300, 2009., 2009 Superposition of Fourier transform with the Riemann ‐ Liouville operators is studied.
Pham Tien Zung, Victor Burenkov
wiley +1 more source
Characterization of the monotone polar of subdifferentials
, 2013 We show that a point is solution of the Minty variational inequality of subdifferential type for a given function if and only if the function is increasing along rays starting from that point.
Lassonde, Marc
core +3 more sources
Open Mathematics, 2022 In this article, we introduce the notions of generalized fractional integrals for the interval-valued functions (IVFs) of two variables. We establish Hermite-Hadamard (H-H) type inequalities and some related inequalities for co-ordinated convex IVFs by ...
Vivas-Cortez Miguel J. +4 more
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An Inequality in Metric Spaces [PDF]
, 2004 In this note we establish a general inequality valid in metric spaces that is related to the polygonal inequality and admits also a natural geometrical interpretation.
Dragomir, Sever S, Goşa, Anca C
core
Some New Integral Inequalities via Strong Convexity
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.We prove some new refined inequalities by using strong convexity. Some refinements of the Chebyšhev’s inequality are considered.
Markos Fisseha Yimer, Zhihua Zhang
wiley +1 more source