Recent Advances in General Inequalities on Pure & Applied Mathematics and Related Areas

Representations of degenerate poly-Bernoulli polynomials

As is well known, poly-Bernoulli polynomials are defined in terms of polylogarithm functions. Recently, as degenerate versions of such functions and polynomials, degenerate polylogarithm functions were introdu...

Authors: Taekyun Kim, Dae San Kim, Jongkyum Kwon and Hyunseok Lee

Data analysis of heavy metal content in riverwater: multivariate statistical analysis and inequality expressions

The purpose of this paper is to use multivariate statistical methods with asymmetric distributions approach, chemical analysis, and inductively coupled plasma–mass spectrometry (ICP-MS) device. We investigate ...

Authors: Yasemin Leventeli and Fusun Yalcin

Degenerate Bell polynomials associated with umbral calculus

Carlitz initiated a study of degenerate Bernoulli and Euler numbers and polynomials which is the pioneering work on degenerate versions of special numbers and polynomials. In recent years, studying degenerate ...

Authors: Taekyun Kim, Dae San Kim, Han-Young Kim, Hyunseok Lee and Lee-Chae Jang

A note on degenerate r-Stirling numbers

The aim of this paper is to study the unsigned degenerate r-Stirling numbers of the first kind as degenerate versions of the r-Stirling numbers of the first kind and the degenerate r-Stirling numbers of the secon...

Authors: Taekyun Kim, Dae San Kim, Hyunseok Lee and Jin-Woo Park

q-Analogues and properties of the Laplace-type integral operator in the quantum calculus theory

In this paper, we discuss the q-Laplace-type integral operator on certain class of special functions. We propose q-analogues and obtain results involving polynomials of even orders and functions of q-trigonometri...

Authors: Shrideh Khalaf Al-Omari

Multiplication operators on weighted Bloch spaces of the first Cartan domains

Authors: Zhi-jie Jiang

Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator

The aim of this present investigation is establishing Minkowski fractional integral inequalities and certain other fractional integral inequalities by employing the Marichev–Saigo–Maeda (MSM) fractional integr...

Authors: Asifa Tassaddiq, Aftab Khan, Gauhar Rahman, Kottakkaran Sooppy Nisar, Moheb Saad Abouzaid and Ilyas Khan

On \(L^{2}\)-boundedness of Fourier integral operators

Authors: Jie Yang, Wenyi Chen and Jiang Zhou

Some new integral inequalities of Wendorff type for discontinuous functions with integral jump conditions

In this paper, we investigate some new integral inequalities of Wendorff type for discontinuous functions with two independent variables and integral jump conditions. These integral inequalities with discontin...

Authors: Lihong Xing, Donghua Qiu and Zhaowen Zheng

Tenth order boundary value problem solution existence by fixed point theorem

In this paper we consider the Green function for a boundary value problem of generic order. For a specific case, the Leray–Schauder form of the fixed point theorem has been used to prove the existence of a sol...

Authors: Nicola Fabiano, Nebojša Nikolić, Thenmozhi Shanmugam, Stojan Radenović and Nada Čitaković

Some approximation properties of new Kantorovich type q-analogue of Balázs–Szabados operators

In this paper, we define a new Kantorovich type q-analogue of the Balázs–Szabados operators, we give some local approximation properties of these operators and prove a Voronovskaja type theorem.

Authors: Hayatem Hamal and Pembe Sabancigil

A new proof for the generalized law of large numbers under Choquet expectation

In this article, we employ the elementary inequalities arising from the sub-linearity of Choquet expectation to give a new proof for the generalized law of large numbers under Choquet expectations induced by 2...

Authors: Jing Chen and Zengjing Chen

\((p,q)\)-Generalization of Szász–Mirakjan operators and their approximation properties

Authors: Mustafa Kara and Nazim I. Mahmudov

Solutions of boundary value problems on extended-Branciari b-distance

In this paper, we consider a new distance structure, extended Branciari b-distance, to combine and unify several distance notions and obtain fixed point results that cover several existing ones in the correspondi...

Authors: Thabet Abdeljawad, Erdal Karapınar, Sumati Kumari Panda and Nabil Mlaiki

Hermite–Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications

In the article, we present several Hermite–Hadamard type inequalities for the co-ordinated convex and quasi-convex functions and give an application to the product of the moment of two continuous and independe...

Authors: Muhammad Amer Latif, Saima Rashid, Silvestru Sever Dragomir and Yu-Ming Chu

Optimal two-parameter geometric and arithmetic mean bounds for the Sándor–Yang mean

In the article, we provide the sharp bounds for the Sándor–Yang mean in terms of certain families of the two-parameter geometric and arithmetic mean and the one-parameter geometric and harmonic means. As appli...

Authors: Wei-Mao Qian, Yue-Ying Yang, Hong-Wei Zhang and Yu-Ming Chu

A new viscosity-type iteration for a finite family of split variational inclusion and fixed point problems between Hilbert and Banach spaces

In this paper, we introduce a new viscosity-type iteration process for approximating a common solution of a finite family of split variational inclusion problem and fixed point problem. We prove that the propo...

Authors: C. Izuchukwu, F. O. Isiogugu and C. C. Okeke

Relations of a planar domains bounded by hyperbolas with families of holomorphic functions

Authors: S. Kanas, V. S. Masih and A. Ebadian

A predictor-corrector iterative method for solving linear least squares problems and perturbation error analysis

Authors: Suzan C. Buranay and Ovgu C. Iyikal

New refinements of the Hadamard inequality on coordinated convex function

In this paper, new refinements of the Hadamard inequality on coordinated convex function are established. Besides, a simple proof of the Hadamard type for linear functions is also found. Moreover, some example...

Authors: Ahoud Almutairi and Adem Kılıçman

Sufficient conditions to solve two systems of integral equations via fixed point results

The purpose of this paper is to study the solution of two systems of nonlinear integral equations via fixed point results in a complete dislocated b-metric space. Also the notion of graphic contractions on a clos...

Authors: Tahair Rasham, Abdullah Shoaib, Giuseppe Marino, Badriah A. S. Alamri and Muhammad Arshad

Iterative methodology on locating a cement plant

In this study, a cement plant location was determined by considering essential parameters such as the locations of resources and their importance in the manufacturing process. A crucial mathematical problem, n...

Authors: Emre Demir and Niyazi Ugur Kockal

Sharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic mean

Authors: Wei-Mao Qian, Zai-Yin He, Hong-Wei Zhang and Yu-Ming Chu

Existence and Ulam–Hyers stability of coupled sequential fractional differential equations with integral boundary conditions

We study the existence and uniqueness of solutions for coupled sequential fractional differential equations involving Caputo fractional derivative of order ...

Authors: Nazim I. Mahmudov and Areen Al-Khateeb

Common fixed point results in function weighted metric spaces

In this paper, we consider a common fixed point result in the context of a very recently defined abstract space: “function weighted metric space”. We present also some examples to illustrate the validity of th...

Authors: Obaid Alqahtani, Erdal Karapınar and Priya Shahi

On conjectures of Stenger in the theory of orthogonal polynomials

Authors: Walter Gautschi and Ernst Hairer

Two variable higher-order central Fubini polynomials

Recently, the central Fubini polynomials were introduced in connection with central factorial numbers of the second kind. In this paper, we consider two variable higher-order central Fubini polynomials as a ‘c...

Authors: Taekyun Kim, Dae San Kim, Gwan-Woo Jang and Dojin Kim

Jungck type fixed point results for weakly compatible mappings in a rectangular soft metric space

The main objectives of the current study are to explore and to express the proof of some common fixed point theorems by using commuting maps in rectangular soft metric spaces. We obtain some common fixed point...

Authors: Simge Öztunç and Sedat Aslan

A note on degenerate Bernstein polynomials

Recently, degenerate Bernstein polynomials have been introduced by Kim and Kim. In this paper, we investigate some properties and identities for the degenerate Bernstein polynomials associated with special num...

Authors: Taekyun Kim, Dae San Kim, Gwan-Woo Jang and Jongkyum Kwon

Identities, inequalities for Boole-type polynomials: approach to generating functions and infinite series

The main purpose and motivation of this work is to investigate and provide some new identities, inequalities and relations for combinatorial numbers and polynomials, and for Peters type polynomials with the he...

Authors: Yilmaz Simsek and Ji Suk So