linear functionals
On the Lupas-Beesack-Pecaric Inequality for Isotonic Linear Functionals
... Using Theorem 1 and Theorem 2, we may state the following generalisation of the Hermite-Hadamard inequality for isotonic linear functionals ([4] and [5]). Theorem 3. Let φ : [a, b] ⊂ R → R be a convex ...
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Linear functionals on Orlicz sequence spaces without local convexity
... The general form of continuous linear functionals on an Orlicz sequence space 1’ nonseparable and non-locally convex in general is obtained.. KEY WORDS AND PHRASES.[r] ...
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On the extension of positive linear functionals
... real linear space with a linear semi-group K (we will call the set K ⊂ E a linear semi-group if it possesses the following properties: K + K ⊂ K, and α ·K ⊂ K for all α ≥ 0) with K ⊂ E (the word, ...
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A New Proof of Inequality for Continuous Linear Functionals
... It is well known that a Hilbert space can be given a Gaussian measure. Let H be a Hilbert space equipped with Gaussian measure and L a continuous linear functional acting on H. Smale in 6 a pioneering work on ...
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Solvability and coerciveness of multi-point Sturm–Liouville problems with abstract linear functionals
... Note that an abstract theory of the boundary value problems with continuous coefficients and an eigenvalue parameter in the bound- ary conditions have been constructed by Yakubov and Yakub[r] ...
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An n×n matrix of linear functionals of C∗ algebras
... algebra of all bounded linear operators on a Hilbert space H. Let A and B denote C ∗ -algebras and L : A → B be a bounded linear map. The map L is positive provided L(a) is positive whenever a is positive. ...
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Linear Functionals Connected with Strong Double Cesaro Summability
... Moricz, Some remarks on the notion of regular convergence of multiple series, Acta Math.. Moricz, Extensions of the spaces c and c 0 from single to double sequences, Acta Math.[r] ...
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Nonparametric Bayesian Aggregation for Massive Data
... Specifically, we develop a set of aggregation procedures in Bayesian nonparametric regression. As a first step, nonparametric Bayesian regression is separately fitted based on each subsample randomly split from a massive ...
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Unbounded C* seminorms, biweights, and * representations of partial * algebras: A review
... positive linear functionals are systematically replaced by positive sesquilinear forms, en- joying certain invariance properties that make possible to by-pass the partial nature of the ...
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The space of entire functions of two variables as a metric space
... Theor of Analytic Functions of Several Complex Variables, American Mathematical Society, Providence, 1963... Three classes of linear functionals on the space of entire functions.[r] ...
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Bellman–Steffensen type inequalities
... Further, linear functionals, from obtained Bellman–Steffensen type inequalities, are produced and their action on families of exponentially convex functions is ...
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On the refinements of the Hermite Hadamard inequality
... In this paper, we present some refinements of the classical Hermite-Hadamard integral inequality for convex functions. Further, we give the concept of n-exponential convexity and log-convexity of the functions associated ...
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Representations of banach algebras subordinate to topologically introverted subpaces
... positive linear functional on A is a coordinate function of an involutive representation of A on some Hilbert space (see for example, Dixmier [13, Proposition ...positive linear functionals to weakly ...
104
On the refinements of the integral Jensen Steffensen inequality
... In this paper, we present integral versions of some recently proved results which refine the Jensen-Steffensen inequality. We prove the n-exponential convexity and log-convexity of the functions associated with the ...
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Algebraic spectral synthesis and crystal rigidity
... of linear topological spaces when each is endowed with the topology of coordinatewise convergence, since all linear functionals are automatically continuous with these ...
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A Type of Pseudo Norm
... The Factor Group K/Z as a Pseudo-Normed Vector Space • The P-Topology and P-Linear Functionals The Pseudo-Norm as a Functional •.. The Pseudo-Norm and Ordering Relations List of Referenc[r] ...
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International Journal of Emerging Technology and Advanced Engineering
... Bounded linear operators including projections, Unitary Operators, and self – adjoint operators on a Hilbert ...bounded Linear functionals on Hilbert Spaces Characterize weak Convergence in Hilbert ...
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A duality theorem for solutions of elliptic equations
... We endow Lf/ with the topology of uniform convergence on compact subsets of f/ and we denote by Lf/’ the linear space of all continuous linear functionals on Lt We wish to describe Lf/’ [r] ...
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Topological duals of some paranormed sequence spaces
... a function space. But in the case of a sequence space which is generated by an infinite matrix, the topology is most often induced by a paranorm. While considering the paranormed sequence spaces, the topology of the dual ...
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On strictly convex and strictly 2 convex 2 normed spaces II
... Motivated by the concepts of bounded linear functionals, and duality mappings on normed linear spaces [2, 9], bounded linear 2-functionals on 2-normed spaces were introduced by White [15[r] ...
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