[Turkmath:4852] Gebze Teknik Üniversitesi Matematik Bölümü Genel Seminerleri

[GTU Mathematics]

Sayın Liste Üyeleri,

16 Nisan Cuma günü saat 14:00'te * Doç. Dr. Zeynep Kayar * ( Van Yüzüncü
Yıl Üniversitesi)  *“*   *Dynamic Hardy, Copson, Bennett and Leindler type
inequalities and their complements in delta, nabla and diamond alpha senses*
  *”  *başlıklı bir seminer verecektir. Seminerin detayları aşağıda olup
tüm ilgilenenler davetlidir.

Seminer için Microsoft Teams platformu kullanılacaktır. Seminere katılmak
için aşağıdaki linki kullanabilirsiniz:

https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1617974725596?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a343f6fd-86f8-4abe-95cf-3c7f4ad5f0ca%22%7d

Seminere bağlanırken aşağıdaki pencereyi görürseniz,


[image: image.png]


lütfen* Allow (İzin ver) *seçeneğine tıklayınız. Bu sizin toplantıya kamera
ve mikrofonunuzla bağlanabilmenizi sağlar.


Seminere giriş yaparken lütfen gerçek ve tam adınızı kullanınız.


Konuşmadığınız sürece lütfen mikrofonunuzu kapalı tutunuz.

Saygılarımızla.


Dear all,

*Assoc.Prof. Zeynep Kayar * from Van Yüzüncü Yıl University  will give a
talk titled    *“*   * Dynamic Hardy, Copson, Bennett and Leindler type
inequalities and their complements in delta, nabla and diamond alpha
senses *  *” * on April 16th at 14:00. All interested are invited.

Abstract:  Hardy's distinguished inequalities involving series and
integrals [G. H. Hardy, Notes on a theorem of Hilbert & Notes on some
points in the integral calculus(1920), LX. An inequality between
integrals.(1925)] , which are called discrete and continuous inequalities,
respectively, led to many papers dealing with their alternative proofs,
various generalizations, improvements and applications. Among numerous
mathematicians interested in such inequalities, we choose to mention
(related to our work) Copson, Bennett and Leindler. Besides Hardy's
discrete and continuous inequalities (together with their generalizations,
we may call all of them as Hardy-Copson inequalities), their reverse
versions, which are called Bennett-Leindler inequalities, are found to be
attractive to mathematicians who obtain extended and refined inequalities
in reverse directions.
In order to avoid proving the results twice, once for continuous functions
and once for functions defined on discrete sets, delta and nabla time scale
unifications of these inequalities have appeared in the literature as well.
Since these unifications are not adequate in the theoretical research of
some differential and difference equations and in certain computational
applications such as adaptive computing and multiscale methods , the
diamond alpha, $\diamond_{\alpha},$ calculus, which utilizes convex linear
combinations of delta and nabla derivatives and integrals, has been
introduced by Sheng et al. [. Sheng, M. Fadag, J. Henderson, J. M. Davis,
An exploration of combined dynamic derivatives on time scales and their
applications.(2006)].

In this talk we present some important steps of the development of
Hardy-Copson and Bennett-Leindler inequalities with their various
modifications and extensions. In addition to discrete and continuous
generalizations, we show delta, nabla and diamond alpha unifications of
Hardy-Copson and Bennett-Leindler inequalities as well as complements of
these unifications.

Microsoft Teams platform will be used for the seminar. To join the seminar,
please use the following link:

https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1617974725596?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a343f6fd-86f8-4abe-95cf-3c7f4ad5f0ca%22%7d

If you see the following window when connecting to the seminar,
[image: image.png]



please select *Allow**. *Then you will be able to use your microphone and
camera during the seminar.


Please use your real and complete name when you enter the system.

Please switch your microphone off unless you are speaking.


Sincerely
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