Results 1 to 10 of about 50 (49)
Discontinuous functions in gale economic model
The concept of a general economic equilibrium based on balance of supply and demand has played a central role in theoretical economics since very beginning.
I. Bula
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Interpolating Between Choices for the Approximate Intermediate Value Theorem [PDF]
This paper proves the approximate intermediate value theorem, constructively and from notably weak hypotheses: from pointwise rather than uniform continuity, without assuming that reals are presented with rational approximants, and without using ...
Matthew Frank
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Complete Approximations by Multivariate Generalized Gauss-Weierstrass Singular Integrals
This research and survey article deals exclusively with the study of the approximation of generalized multivariate Gauss-Weierstrass singular integrals to the identity-unit operator.
Anastassiou George A.
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A hierarchy in the family of real surjective functions
This expository paper focuses on the study of extreme surjective functions in ℝℝ. We present several different types of extreme surjectivity by providing examples and crucial properties.
Fenoy-Muñoz Mar +3 more
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Inequalities via s−convexity and log −convexity
In this paper, we obtain some new inequalities for functions whose second derivatives’ absolute value is s−convex and log −convex. Also, we give some applications for numerical integration.
Akdemir Ahmet Ocak +2 more
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We prove that if f and g are functions from the reals into the reals such that the composition of g with f is continuous and f is both Darboux and surjective, then g is continuous. We also prove that continuous and Darboux can be interchanged in the above statement.
Kandasamy Muthuvel
wiley +1 more source
Stancu-durrmeyer type operators based on q-integers [PDF]
In this paper, we construct the Stancu-Durrmeyer-type modification of q-Bernstein operators by means of q-Jackson integral. Here, we establish moment estimates and some direct results which include basic convergence theorem, local approximation theorem ...
Araci, Serkan +8 more
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Rate of convergence of Szász-beta operators based on q-integers
The purpose of this paper is to establish the rate of convergence in terms of the weighted modulus of continuity and Lipschitz type maximal function for the q-Szász-beta operators. We also study the rate of A-statistical convergence.
Gupta Pooja, Agrawal Purshottam Narain
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On generalized Baskakov-Durrmeyer-Stancu type operators
In this paper, we study some local approximation properties of generalized Baskakov-Durrmeyer-Stancu operators. First, we establish a recurrence relation for the central moments of these operators, then we obtain a local direct result in terms of the ...
Kumar Angamuthu Sathish +2 more
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Global Smoothness Of Approximating Functions
We investigate the conditions under which global smoothness of a function f (as measured by its modulus of continuity) is retained by the elements of approximating sequences (Lnf).
Anastassiou, George A. +2 more
core +1 more source

