Results 21 to 30 of about 2,803 (176)
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
On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals
, 2017 In this paper, we have established Hermite-Hadamard-type inequalities for fractional integrals and will be given an identity. With the help of this fractional-type integral identity, we give some integral inequalities connected with the left-side of ...
M. Sarıkaya, H. Yildirim
semanticscholar +1 more source
Inequalities of Hermite-Hadamard Type for HA-Convex Functions
Moroccan Journal of Pure and Applied Analysis, 2017 Some new inequalities of Hermite-Hadamard type for HA-convex functions defined on positive intervals are given.
Dragomir S. S.
doaj +1 more source
Integral inequalities via harmonically h-convexity
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we establish some estimates of the left side of the generalized Gauss-Jacobi quadrature formula for harmonic h-preinvex functions involving Euler’s beta and hypergeometric functions.
Merad Meriem +2 more
doaj +1 more source
A Generalisation of an Ostrowski Inequality in Inner Product Spaces [PDF]
, 2003 A generalisation of inner product spaces of an inequality due to Ostrowski and applications for sequences and integrals are ...
Dragomir, Sever S., Gosa, Anca C.
core +2 more sources
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
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An estimate for the best constant in the Lp‐Wirtinger inequality with weights
Journal of Function Spaces, Volume 6, Issue 1, Page 1-16, 2008., 2008 We prove an estimate for the best constant C in the following Wirtinger type inequality ∫02πa|w|p≤C∫02πb|w′|p.
Raffaella Giova, Carlo Sbordone
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Ostrowski Type Inequalities over Spherical Shells [PDF]
, 2008 2000 Mathematics Subject Classification: 26D10, 26D15.Here are presented Ostrowski type inequalities over spherical shells. These regard sharp or close to sharp estimates to the difference of the average of a multivariate function from its value at a ...
Anastassiou, George A.
core
Refined and Generalized Versions of Hölder’s Inequality via Schur Convexity of Functions
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we introduce a class of functions associated with Hölder’s inequality and show the Schur convexities of these functions. With the help of Schur convexity, several improved versions of Hölder’s inequality are established. The results obtained here are the generalizations and refinements of the existing results for Hölder’s inequality.
Shanhe Wu, Raúl E. Curto
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