On the -Bernstein Polynomials of Unbounded Functions with by Sofiya Ostrovska, Ahmet Yaşar Özban

“…As a model, the behavior of polynomials is examined both theoretically and numerically in detail for functions on satisfying as , where and are real numbers.…”
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Statistical Convergence of Double Sequences of Order by R. Çolak, Y. Altin

“…We intend to make a new approach and introduce the concepts of statistical convergence of order and strongly -Cesàro summability of order for double sequences of complex or real numbers. Also, some relations between the statistical convergence of order and strong -Cesàro summability of order are given.…”
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Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings by Jaekeun Park

“…Some applications to special means of positive real numbers are also given.…”
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Approximate Riesz Algebra-Valued Derivations by Faruk Polat

“…Let and be two nonnegative real numbers. Assume that a map satisfies and for all . …”
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Forward Curvatures on Time Scales by M. S. Seyyidoglu, Y. Tunçer, D. Uçar, M. K. Berktaş, V. F. Hatipoğlu

“…We also introduce forward curvature of a curve and give some formulas to calculate forward curvature of a curve on time scales which may be an arbitrary closed subsets of the set of all real numbers. We also introduce the length of a curve parametrized by a time scale parameter in ℝ3.…”
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Stability of a Logarithmic Functional Equation in Distributions on a Restricted Domain by Jaeyoung Chung, Prasanna K. Sahoo

“…Let be the set of real numbers, , , and . As classical and versions of the Hyers-Ulam stability of the logarithmic type functional equation in a restricted domain, we consider the following inequalities: , and in the sectors . …”
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On the Difference Equation xn=anxn-k/(bn+cnxn-1⋯xn-k) by Stevo Stević, Josef Diblík, Bratislav Iričanin, Zdeněk Šmarda

“…The behavior of well-defined solutions of the difference equation xn=anxn-k/(bn+cnxn-1⋯xn-k), n∈ℕ0, where k∈ℕ is fixed, the sequences an, bn and cn are real, (bn,cn)≠(0,0), n∈ℕ0, and the initial values x-k,…,x-1 are real numbers, is described.…”
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Quaternionic Serret-Frenet Frames for Fuzzy Split Quaternion Numbers by Cansel Yormaz, Simge Simsek, Serife Naz Elmas

“…We build the concept of fuzzy split quaternion numbers of a natural extension of fuzzy real numbers in this study. Then, we give some differential geometric properties of this fuzzy quaternion. …”
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Dilemmas in solving one type of exponential equations in mathematics teaching by Marković Olivera R., Zubac Marina A.

“…Namely, in some collections of math problems the starting point is the fact that the real solutions to an equation are all real numbers for which the given equation becomes an exact equality, including those real numbers for which the base f(x) is a negative number, while in others the possibility of a negative base is excluded due to the area of definition of the function y = f ( x ) a(x). …”
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On a theorem of W. Meyer-König and H. Tietz by İBrahım Çanak, Mehmet Dık, Fılız Dık

“…Let (un) be a sequence of real numbers and let L be an additive limitable method with some property. …”
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Global Attractivity of a Higher-Order Difference Equation by R. Abo-Zeid

“…The aim of this work is to investigate the global stability, periodic nature, oscillation, and the boundedness of all admissible solutions of the difference equation xn+1=Axn-2r-1/(B-C∏i=lkxn-2i), n=0,1,2,… where A,B,C are positive real numbers and l,r,k are nonnegative integers, such that l≤k.…”
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Tauberian conditions for a general limitable method by İbrahim Canak, Ümit Totur

“…Let (un) be a sequence of real numbers, L an additive limitable method with some property, and and different spaces of sequences related to each other. …”
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On the Dynamics of a Higher-Order Rational Difference Equation by A. M. Ahmed

“…The aim of this paper is to investigate the global asymptotic stability and the periodic character for the rational difference equation xn+1=αxn-1/(β+γΠi=lkxn-2ipi),  n=0,1,2,…, where the parameters α,β,γ,pl,pl+1,…,pk are nonnegative real numbers, and l,k are nonnegative integers such that l≤k.…”
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The Closed Graph Theorem and the Space of Henstock-Kurzweil Integrable Functions with the Alexiewicz Norm by Luis Ángel Gutiérrez Méndez, Juan Alberto Escamilla Reyna, Maria Guadalupe Raggi Cárdenas, Juan Francisco Estrada García

“…We prove that the cardinality of the space ℋ𝒦([a,b]) is equal to the cardinality of real numbers. Based on this fact we show that there exists a norm on ℋ𝒦([a,b]) under which it is a Banach space. …”
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The probabilistic number theory and continuum by Vilius Stakėnas

“… Let bn be a sequence of real numbers increasing unboundedly, α > 0 and B(n, α) = [bn α]. …”
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On the Difference Equation xn+1=xnxn-k/(xn-k+1a+bxnxn-k) by Stevo Stević, Josef Diblík, Bratislav Iričanin, Zdenĕk Šmarda

“…We show that the difference equation xn+1=xnxn-k/xn-k+1(a+bxnxn-k),n∈ℕ0, where k∈ℕ, the parameters a, b and initial values x-i, i=0,k̅ are real numbers, can be solved in closed form considerably extending the results in the literature. …”
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An Alternative Method for the Gamma Function derived from Natural Logarithm and Pi Function by Chinnaraji Annamalai, Antonio Marcos de Oliveira Siqueira

“…Also, a novel factorial theorem, which is alternative to the gamma function, is introduced in this article and it computes the accurate values of factorial for positive real numbers.     …”
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A New Model of Ultracapacitors Based on Fractal Fundamentals by Xiaodong Zhang, Yi Sun, Jia Song, Aijun Wu, Xiaoyan Cui

“…The model is based on a simple expression that can be fully characterized by five real numbers. In this paper, the measured impedances of three ultracapacitors as a function of frequency are compared to model results. …”
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On the Solutions of a System of Third-Order Rational Difference Equations by A. M. Alotaibi, M. S. M. Noorani, M. A. El-Moneam

“…The structure of the solutions for the system nonlinear difference equations xn+1=ynyn-2/(xn-1+yn-2), yn+1=xnxn-2/(±yn-1±xn-2), n=0,1,…, is clarified in which the initial conditions x-2, x-1, x0, y-2, y-1, y0 are considered as arbitrary positive real numbers. To exemplify the theoretical discussion, some numerical examples are presented.…”
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lp,q-bounded sequences in function spaces by S. Ya. Novikov

“…A sequence of measurable functions {fn} is called lp,q-bounded sequence, 0<p<∞,  0<q≤∞, if for any sequence of real numbers a={αn}∈lp,q we have sup⁡n⁡|αnFn(ω)|<∞  ω-a.e., for any sequence {Fn} such that for every n functions fn anf Fn are equimeasurable. …”
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