Sebastian, Asha Ravichandran, V.
Published in
Mathematica Slovaca

This paper studies analytic functions f defined on the open unit disk of the complex plane for which f/g and (1 + z)g/z are both functions with positive real part for some analytic function g. We determine radius constants of these functions to belong to classes of strong starlike functions, starlike functions of order α, parabolic starlike functio...

Dvurečenskij, Anatolij
Published in
Mathematica Slovaca

Khare, Mona Pandey, Pratibha
Published in
Mathematica Slovaca

The present paper introduces and studies the concepts of K-outer approximation and K-inner approximation for a monotone function μ defined on a D-poset P, by a subfamily K of P. Some desirable properties of K-approximable functions are established and it is shown that the family of all elements of P that possess K-approximation, forms a lattice and...

Dvurečenskij, Anatolij Volaufová, Júlia Wimmer, Gejza Witkovský, Viktor
Published in
Mathematica Slovaca

Štrboja, Mirjana Mihailović, Biljana
Published in
Mathematica Slovaca

In this paper some properties of the pseudo-integral are summarized and a characterization theorem for this integral is proposed. Using the characterization theorem, we obtain that the pseudo-integral with respect to the pseudo-product of two σ-⊕-measures can be reduced to repeated pseudo-integrals. As a consequence of that claim and the Hölder typ...

Zhang, Yong Gao, Dan
Published in
Mathematica Slovaca

Using the theory of elliptic curve, we show that all right triangles, such that the sum of the area and the square of the sum of legs is a square, are given by an infinite set. Similarly, we get all right triangles such that the sum of the area and the square of the semi-perimeter is a square. Using the theory of Pell’s equation, we prove that ther...

Noor, Khalida Inayat Shah, Shujaat Ali
Published in
Mathematica Slovaca

This paper aims to introduce the q-analogue of subclasses of the spiral-like functions of complex order and derive some inclusion properties by applying certain linear operators. The invariance of these classes under q-Bernardi integral operator has been discussed. Our results yield some known results as special case.

Kadakal, Mahir İşcan, İmdat Agarwal, Praveen Jleli, Mohamed
Published in
Mathematica Slovaca

In this manuscript, we introduce and study the concept of exponential trigonometric convex functions and their some algebraic properties. We obtain Hermite-Hadamard type inequalities for the newly introduced class of functions. We also obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value,...

Singh, Sumit Tyagi, Brij K. Bhardwaj, Manoj
Published in
Mathematica Slovaca

Recently Bukovský, Das and Šupina [Ideal quasi-normal convergence and related notions, Colloq. Math. 146 (2017), 265–281] started the study of sequence selection properties (𝓘, 𝓙-α1) and (𝓘, 𝓙-α4) of Cp(X) using the double ideals, where 𝓘 and 𝓙 are the proper admissible ideals of ω, which are motivated by Arkhangeľskii local αi-properties [The freq...

Bodaghi, Abasalt
Published in
Mathematica Slovaca

In this article, by using a new form of multi-quadratic mapping, we define multi-m-Jensen-quadratic mappings and then unify the system of functional equations defining a multi-m-Jensen-quadratic mapping to a single equation. Using a fixed point theorem, we study the generalized Hyers-Ulam stability of multi-quadratic and multi-m-Jensen-quadratic fu...