The Spectrum of Mapping Ideals of Type Variable Exponent Function Space of Complex Variables with Some Applications

The topological and geometric behaviors of the variable exponent formal power series space, as well as the prequasi-ideal construction by s -numbers and this function space of complex variables, are investigated in this article. Upper bounds for s -numbers of infinite series of the weighted n th power forward and backward shift operator on this function space are being investigated, with applications to some entire functions.

PARANORMED SPACES OF ABSOLUTE LUCAS SUMMABLE SERIES AND MATRIX OPERATORS

The aim of this paper is to introduce the absolute series space $\left\vert \mathcal{L}^{\phi }(r,s)\right\vert (\mu )$ as the the set of all series summable by the absolute Lucas method, and to give its topological and algebraic structure such as $FK-$space, duals and Schauder basis. Also, certain matrix operators on this space are characterized.

A Generalization of Caristi’s Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space

Suppose p n be sequence of positive reals. By H w p n , we represent the space of all formal power series ∑ n = 0 ∞ a n z n equipped with ∑ n = 0 ∞ λ a n / n + 1 p n < ∞ , for some λ > 0 . Various topological and geometric behavior of H w p n and the prequasi ideal constructs by s -numbers and H w p n have been considered. The upper bounds for s -numbers of infinite series of the weighted n -th power forward shift operator on H w p n with applications to some entire functions are granted. Moreover, we investigate an extrapolation of Caristi’s fixed point theorem in H w p n .

“Space Robotics”

“Space Robotics” by Yaobing Wang belongs to the series Space Science and Technologies co-published by Beijing Institute of Technology Press, China, and Springer Nature Pte Ltd, Singapore. The Editor-in-Chief of the series, Peijian Ye, is Academician of the Chinese Academy of Sciences in Beijing and has published a collection of 10 volumes. This volume’s author, Yaobin Wang, is a research professor of Beijing Institute of Spacecraft System Engineering and Director of Beijing Key Laboratory of Intelligent Space Robotic Systems Technology and Applications. The book’s 363 pages provide a condensed combination of theory and practice as engineering guidance.

Extension of Maddox’s space l(μ) with Nörlund means

In this paper, we introduce a new series space [Formula: see text] as the set of all series summable by the absolute Nörlund summability method, which includes the spaces [Formula: see text] and [Formula: see text] of Maddox [Spaces of strongly summable sequences, Quart. J. Math. 18(1) (1967) 345–355], Sarıgöl [Spaces of series summable by absolute Cesàro and matrix operators, Comm. Math Appl. 7(1) (2016) 11–22], Hazar and Sarıgöl [On absolute Nörlund spaces and matrix operators, Acta Math. Sinica, (English Ser.) 34(5) (2018) 812–826], respectively. Also, we study its some algebraic and topological structures such as isomorphism, the [Formula: see text], [Formula: see text], [Formula: see text] duals, Schauder basis, and characterize certain matrix transformations on that space.

Pengaruh Iklan Web Series SPace # "Kenapa Belum Nikah?" Terhadap Brand Awareness JD.ID

Penelitian ini bertujuan untuk mengetahui seberapa besar pengaruh iklan web series Space # “Kenapa Belum Nikah?” terhadap brand awareness JD.ID. Penelitian ini menggunakan variabel independent yaitu iklan web series, dengan dimensi multimedia, pictures, dan content. Dan variabel dependent yaitu brand awareness, dengan dimensi unaware of brand, brand recognition, brand recall, dan top of mind. Penelitian ini menggunakan metode kuantitatif, dengan teknik analisis data deksriptif, uji normalitas, uji regresi linier sederhana, koefisien determinasi, dan uji hipotesis. Teknik sampling yang digunakan dalam penelitian ini adalah Probability Sampling, yaitu Simple Random Sampling, dan menggunakan rumus unknown populations, dengan jumlah 100 responden. Hasil uji hipotesis menunjukan bahwa iklan web series Space # “Kenapa Belum Nikah?” memiliki pengaruh yang positif terhadap brand awareness JD.ID, hal tersebut dibuktikan dengan t hitung (6.168) > t tabel (1.290), dan hasil koefisien determinasi menunjukan bahwa iklan web series Space # “Kenapa Belum Nikah?” memiliki pengaruh sebesar 27.98% terhadap brand awareness JD.ID. Sehingga dapat disimpulkan bahwa iklan web series tidak bisa berdiri sendiri dalam meningkatkan kesadaran terhadap suatu merek, tetapi membutuhkan faktor lainnya, seperti slogan dan jingle sebagai elemen pendukungnya.