Results 21 to 30 of about 107,051 (305)
Generalizations of Ostrowski type inequalities via Hermite polynomials
Journal of Inequalities and Applications, 2020 We present new generalizations of the weighted Montgomery identity constructed by using the Hermite interpolating polynomial. The obtained identities are used to establish new generalizations of weighted Ostrowski type inequalities for differentiable ...
Ljiljanka Kvesić +2 more
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Specificity and function of T cell subset identities using single‐cell sequencing
Clinical and Translational Discovery, 2023 T cells, with numerous classifications, are vital components of the adaptive immune system, which function to maintain homeostasis to protect against pathogens.
Xuanqi Liu, Zhenhua Zhu, Xiangdong Wang
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Identity-Type Functions and Polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 For a noncommuting product of functions, similar to convolutions, an “identity-type function” leaving a specific function invariant is defined. It is evaluated for any choice of function on which it acts by solving a functional equation. A closed-form representation for the identity-type function of(1+t)−b(b>0)is obtained, which is a solution of a ...
M. Aslam Chaudhry, Asghar Qadir
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On rational functional identities
, 2023 In this paper, we progress in the general study of rational functional identities in the setting of division rings. The main theorem in the paper states that the only additive maps $f$ and $g$ satisfying that $f(x)=-x^ng(x^{-1}) $, for $n=3$ or $4$, are ...
Tomás Merchán +2 more
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Reflection Identities of Harmonic Sums of Weight Four
Universe, 2019 In attempt to find a proper space of function expressing the eigenvalue of the color-singlet BFKL equation in N = 4 SYM, we consider an analytic continuation of harmonic sums from positive even integer values of the argument to the complex plane.
Alexander Prygarin
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Generalized derivations acting on Lie ideals in prime rings and Banach algebras
Математичні Студії, 2023 Let $R$ be a prime ring and $L$ a non-central Lie ideal of $R.$ The purpose of this paper is to describe generalized derivations of $R$ satisfying some algebraic identities locally on $L.$ More precisely, we consider two generalized derivations $F_1$ and
A. Hermas, L. Oukhtite, L. Taoufiq
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Frontiers in Environmental Science, 2022 Understanding the influence of environmental conditions on biodiversity is a major task in ecology. We investigated how phytoplankton taxonomic (TD) and functional (FD) diversities vary with environmental factors in eight subtropical and tropical ...
Juliana B. O. Santos +2 more
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Combinatorial Sums and Identities associated with Functional Equations of Generating Functions for Fubini Type Polynomials [PDF]
, 2023 Using generating functions with their functional equations method, a great number of novel combinatorial sums, formulas, and recurrence relation including Fubini type polynomials and numbers, Stirling type numbers, and Apostol type polynomials are given.
Kilar, Neslihan, Neslıhan KILAR
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Journal of Inequalities and Applications, 2020 In this paper, first we present some interesting identities associated with Green’s functions and Fink’s identity, and further we present some interesting inequalities for r-convex functions.
Sadia Khalid, Josip Pečarić
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Journal of Inequalities and Applications, 2017 In this paper, we formulate new Abel-Gontscharoff type identities involving new Green functions for the ‘two-point right focal’ problem. We use Fink’s identity and a new Abel-Gontscharoff-type Green’s function for a ‘two-point right focal’ to generalize ...
Tasadduq Niaz +2 more
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