Results 41 to 50 of about 1,310 (132)
Demonstratio Mathematica, 2023 In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for kk-fractional integrals involving rr-times differentiable preinvex functions.
Zafar Fiza, Mehmood Sikander, Asiri Asim
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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.
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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
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this note, we introduce the concept of ℏ‐Godunova–Levin interval‐valued preinvex functions. As a result of these novel notions, we have developed several variants of Hermite–Hadamard and Fejér‐type inequalities under inclusion order relations. Furthermore, we demonstrate through suitable substitutions that this type of convexity unifies a variety of
Zareen A. Khan +4 more
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A more generalized Gronwall‐like integral inequality with applications
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 15, Page 927-934, 2003., 2003 This paper deals with a new Gronwall‐like integral inequality which is a generalization of integral inequalities proved by Engler (1989) and Pachpatte (1992). The new Gronwall‐like integral inequality can be used in various problems in the theory of certain class of ordinary and integral equations.
Qinghua Ma, Lokenath Debnath
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A note on certain convolution operators
, 2013 In this note we consider a certain class of convolution operators acting on the L_p spaces of the one dimensional torus. We prove that the identity minus such an operator is nicely invertible on the subspace of functions with mean zero.Comment: 10 ...
Nayar, Piotr, Tkocz, Tomasz
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On Improved Simpson‐Type Inequalities via Convexity and Generalized Fractional Operators
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this work, we develop novel Simpson‐type inequalities for mappings with convex properties by employing operators for tempered fractional integrals. These findings expand upon and refine classical results, including those linked to Riemann–Liouville fractional integrals.
Areej A. Almoneef +4 more
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New Hardy-Type Inequalities with Singular Weights [PDF]
, 2012 2010 Mathematics Subject Classification: 26D10.We prove a new Hardy–type inequality with weights that are possibly singular at internal point and on the boundary of the domain.
Fabricant, Alexander +2 more
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Some Hermite–Hadamard Type Inequality for the Operator p,P‐Preinvex Function
Journal of Mathematics, Volume 2025, Issue 1, 2025.The goal of the article is to introduce the operator p,P‐preinvex function and present several features of this function. Also, we establish some Hermite–Hadamard type inequalities for this function.
Mahsa Latifi Moghadam +3 more
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Analysis of Cauchy problem with fractal-fractional differential operators
Demonstratio Mathematica, 2023 Cauchy problems with fractal-fractional differential operators with a power law, exponential decay, and the generalized Mittag-Leffler kernels are considered in this work.
Alharthi Nadiyah Hussain +2 more
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