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Mathematics
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New Aspects of Differentiable and Not Differentiable Function Theory
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New Aspects of Differentiable and Not Differentiable Function Theory

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".

Deadline for manuscript submissions: 15 January 2026 | Viewed by 2426

Special Issue Editors

Prof. Dr. Octav Olteanu

E-Mail Website
Guest Editor
Department of Mathematics-Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania
Interests: Hahn-Banach type theorems; Markov moment problem; polynomial approximation on unbounded subsets; operatorial equations; inequalities
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Savin Treanta

E-Mail Website
Guest Editor
Department of Applied Mathematics, Faculty of Applied Sciences, University Politehnica of Bucharest, 060042 Bucharest, Romania
Interests: variational and functional analysis; optimization methods; control theory; differential equations
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

As is well known in Analysis, Functional Analysis, and their applications, the notions of differentiability, convexity, basic inequalities, and the optimization of scalar- or Banach lattice-valued functions are the foundation for new ideas and findings. This Special Issue focuses on the topics mentioned above as well as their related subjects. More specifically, we aim to study aspects of optimization, polynomial approximations on unbounded subsets, moment problems, variational inequalities, evolutionary problems, dynamical systems, generalized convexity, partial differential equations, and Banach lattices of self-adjoint operators. We will emphasize applications to concrete problems and recognize that some of these research areas are intercorrelated. Therefore, we cordially invite you to publish your findings (articles or review papers) on these or related subjects in this Special Issue.

Prof. Dr. Octav Olteanu
Prof. Dr. Savin Treanta
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • optimization
  • convexity
  • inequalities
  • extension of linear operators
  • approximation
  • moment problems
  • Banach lattices
  • self-adjoint operators
  • integral equations
  • ordinary differential equations
  • partial differential equations
  • dynamical systems
 
 
 

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Published Papers (3 papers)

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Research

19 pages, 306 KiB  
Article
On New Generalized Mitrinović-Adamović-Type Inequalities
by Yogesh J. Bagul and Wei-Shih Du
Mathematics 2025, 13(7), 1174; https://doi.org/10.3390/math13071174 - 2 Apr 2025
Viewed by 181
Abstract
In this paper, we establish new generalized Mitrinović-Adamović-type inequalities in a wider range (0,π) by using the monotonicity of certain functions. These inequalities contain sharp and tractable bounds for the function sinxx3. All the main [...] Read more.
In this paper, we establish new generalized Mitrinović-Adamović-type inequalities in a wider range (0,π) by using the monotonicity of certain functions. These inequalities contain sharp and tractable bounds for the function sinxx3. All the main results are also true in (−π,0) due to the symmetry of the curves involved. Full article
(This article belongs to the Special Issue New Aspects of Differentiable and Not Differentiable Function Theory)
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14 pages, 361 KiB  
Article
Langlands Duality and Invariant Differential Operators
by Vladimir Dobrev
Mathematics 2025, 13(5), 855; https://doi.org/10.3390/math13050855 - 4 Mar 2025
Viewed by 386
Abstract
Langlands duality is one of the most influential topics in mathematical research. It has many different appearances and influential subtopics. Yet there is a topic that until now has seemed unrelated to the Langlands program. That is the topic of invariant differential operators. [...] Read more.
Langlands duality is one of the most influential topics in mathematical research. It has many different appearances and influential subtopics. Yet there is a topic that until now has seemed unrelated to the Langlands program. That is the topic of invariant differential operators. It is strange since both items are deeply rooted in Harish-Chandra’s representation theory of semisimple Lie groups. In this paper we start building the bridge between the two programs. We first give a short review of our method of constructing invariant differential operators. A cornerstone in our program is the induction of representations from parabolic subgroups P=MAN of semisimple Lie groups. The connection to the Langlands program is through the subgroup M, which other authors use in the context of the Langlands program. Next we consider the group SL(2n,R), which is currently prominently used via Langlands duality. In that case, we have M=SL(n,R)×SL(n,R). We classify the induced representations implementing P=MAN. We find out and classify the reducible cases. Using our procedure, we classify the invariant differential operators in this case. Full article
(This article belongs to the Special Issue New Aspects of Differentiable and Not Differentiable Function Theory)
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10 pages, 265 KiB  
Article
On a Weighting Technique for Multiple Cost Optimization Problems with Interval Values
by Savin Treanţă and Omar Mutab Alsalami
Mathematics 2024, 12(15), 2321; https://doi.org/10.3390/math12152321 - 24 Jul 2024
Viewed by 1028
Abstract
This paper deals with a weighting technique for a class of multiple cost optimization problems with interval values. More specifically, we introduce a multiobjective interval-valued controlled model and investigate it by applying the weighting method. In this regard, several characterization theorems are derived. [...] Read more.
This paper deals with a weighting technique for a class of multiple cost optimization problems with interval values. More specifically, we introduce a multiobjective interval-valued controlled model and investigate it by applying the weighting method. In this regard, several characterization theorems are derived. Moreover, a numerical example is formulated. Based on the provided illustrative example and performing a comparative analysis of the results obtained using the weighting technique versus traditional optimization methods, we can easily conclude the effectiveness of the weighting technique in solving multiple cost optimization problems, that is, the conversion of a vector problem to a scalar one. Full article
(This article belongs to the Special Issue New Aspects of Differentiable and Not Differentiable Function Theory)
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