Open MathematicsIn this study, we discuss new Hardy-type inequalities for operators involving iteration and provide explicit characterizations of these inequalities. As an application of our results, we consider the problem of the boundedness of the multidimensional ...
Kalybay Aigerim
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On Bessel and Gruss Inequalities for Orthornormal Families in Inner Product Spaces [PDF]
arXiv, 2003 A new counterpart of Bessel's inequality for orthornormal families in real or complex inner product spaces is obtained. Applications for some Gruss type results are also provided.
arxiv
Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model. [PDF]
Results Phys, 2023 Chu YM +6 more
europepmc +1 more source
Copson-type Inequalities via the k-Hadamard Operator
Annals of the West University of Timisoara: Mathematics and Computer ScienceIn this paper, we present a novel class of Copson-type inequalities involving the right-sided k-Hadamard fractional integral operator with all parameters of integrability p ≠ 0 and obtain some classical special cases of Copson inequalities.
Benaissa Bouharket, Azzouz Noureddine
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Some New Results Related to Bessel and Gruss Inequalities for Orthogonal Families in Inner Product Spaces [PDF]
arXiv, 2003 Some new counterparts of Bessel's inequality for orthornormal families in real or complex inner product spaces are pointed out. Applications for some Gruss type inequalities are also empahsized.
arxiv
A Generalisation of an Ostrowski Inequality in Inner Product Spaces [PDF]
arXiv, 2003 A generalisation of inner product spaces of an inequality due to Ostrowski and applications for sequences and integrals are given.
arxiv
A Counterpart of Schwarz's Inequality in Inner Product Spaces [PDF]
arXiv, 2003 A new counterpart of Schwarz's inequality in inner product spaces and applications for isotonic functionals, integrals and sequences are provided.
arxiv
Some Companions of Ostrowski's Inequality for Absolutely Continuous Functions and Applications [PDF]
arXiv, 2003 Companions of Ostrowski's integral ineqaulity for absolutely continuous functions and applications for composite quadrature rules and for p.d.f.'s are provided.
arxiv
A new Bihari inequality and initial value problems of first order fractional differential equations. [PDF]
Fract Calc Appl Anal, 2023 Lan K, Webb JRL.
europepmc +1 more source
Gruss Type Discrete Inequalities in Inner Product Spaces, Revisited [PDF]
arXiv, 2003 Some sharp inequalities of Gruss type for sequences of vectors in real or complex inner product spaces are obtained. Applications for Jensen's inequality for convex functions defined on such spaces are also provided.
arxiv